Springer, T. A. (Tonny Albert) 1926
Overview
Works:  128 works in 361 publications in 5 languages and 3,981 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Honoree, Book producer, Director 
Publication Timeline
.
Most widely held works about
T. A Springer
 Algebraic groups : Utrecht 1986 : proceedings of a symposium in honour of T.A. Springer by Arjeh M Cohen( Book )
Most widely held works by
T. A Springer
Invariant theory by
T. A Springer(
Book
)
25 editions published between 1977 and 2006 in 4 languages and held by 607 WorldCat member libraries worldwide
25 editions published between 1977 and 2006 in 4 languages and held by 607 WorldCat member libraries worldwide
Jordan algebras and algebraic groups by
T. A Springer(
Book
)
20 editions published between 1973 and 1998 in 3 languages and held by 510 WorldCat member libraries worldwide
20 editions published between 1973 and 1998 in 3 languages and held by 510 WorldCat member libraries worldwide
Linear algebraic groups by
T. A Springer(
Book
)
29 editions published between 1980 and 2013 in English and held by 457 WorldCat member libraries worldwide
"[The first] ten chapters...are an efficient, accessible, and selfcontained introduction to affine algebraic groups over an algebraically closed field. The author includes exercises and the book is certainly usable by graduate students as a text or for selfstudy...the author [has a] studentfriendly style… [The following] seven chapters... would also be a good introduction to rationality issues for algebraic groups. A number of results from the literature…appear for the first time in a text." –Mathematical Reviews (Review of the Second Edition) "This book is a completely new version of the first edition. The aim of the old book was to present the theory of linear algebraic groups over an algebraically closed field. Reading that book, many people entered the research field of linear algebraic groups. The present book has a wider scope. Its aim is to treat the theory of linear algebraic groups over arbitrary fields. Again, the author keeps the treatment of prerequisites selfcontained. The material of the first ten chapters covers the contents of the old book, but the arrangement is somewhat different and there are additions, such as the basic facts about algebraic varieties and algebraic groups over a ground field, as well as an elementary treatment of Tannaka's theorem. These chapters can serve as a text for an introductory course on linear algebraic groups. The last seven chapters are new. They deal with algebraic groups over arbitrary fields. Some of the material has not been dealt with before in other texts, such as Rosenlicht's results about solvable groups in Chapter 14, the theorem of Borel and Tits on the conjugacy over the ground field of maximal split tori in an arbitrary linear algebraic group in Chapter 15, and the Tits classification of simple groups over a ground field in Chapter 17. The book includes many exercises and a subject index." –Zentralblatt Math (Review of the Second Edition)
29 editions published between 1980 and 2013 in English and held by 457 WorldCat member libraries worldwide
"[The first] ten chapters...are an efficient, accessible, and selfcontained introduction to affine algebraic groups over an algebraically closed field. The author includes exercises and the book is certainly usable by graduate students as a text or for selfstudy...the author [has a] studentfriendly style… [The following] seven chapters... would also be a good introduction to rationality issues for algebraic groups. A number of results from the literature…appear for the first time in a text." –Mathematical Reviews (Review of the Second Edition) "This book is a completely new version of the first edition. The aim of the old book was to present the theory of linear algebraic groups over an algebraically closed field. Reading that book, many people entered the research field of linear algebraic groups. The present book has a wider scope. Its aim is to treat the theory of linear algebraic groups over arbitrary fields. Again, the author keeps the treatment of prerequisites selfcontained. The material of the first ten chapters covers the contents of the old book, but the arrangement is somewhat different and there are additions, such as the basic facts about algebraic varieties and algebraic groups over a ground field, as well as an elementary treatment of Tannaka's theorem. These chapters can serve as a text for an introductory course on linear algebraic groups. The last seven chapters are new. They deal with algebraic groups over arbitrary fields. Some of the material has not been dealt with before in other texts, such as Rosenlicht's results about solvable groups in Chapter 14, the theorem of Borel and Tits on the conjugacy over the ground field of maximal split tori in an arbitrary linear algebraic group in Chapter 15, and the Tits classification of simple groups over a ground field in Chapter 17. The book includes many exercises and a subject index." –Zentralblatt Math (Review of the Second Edition)
Algebraic groups : Utrecht 1986 : proceedings of a symposium in honour of T.A. Springer by
Arjeh M Cohen(
Book
)
14 editions published in 1987 in English and Undetermined and held by 454 WorldCat member libraries worldwide
From 14 April 1986 a Symposium on Algebraic Groups was held at the University of Utrecht, The Netherlands, in celebration of the 350th birthday of the University and the 60th of T.A. Springer. Recognized leaders in the field of algebraic groups and related areas gave lectures which covered wide and central areas of mathematics. Though the fourteen papers in this volume are mostly original research contributions, some survey articles are included. Centering on the Symposium subject, such diverse topics are covered as Discrete Subgroups of Lie Groups, Invariant Theory, Dmodules, Lie Algebras, Special Functions, Group Actions on Varieties
14 editions published in 1987 in English and Undetermined and held by 454 WorldCat member libraries worldwide
From 14 April 1986 a Symposium on Algebraic Groups was held at the University of Utrecht, The Netherlands, in celebration of the 350th birthday of the University and the 60th of T.A. Springer. Recognized leaders in the field of algebraic groups and related areas gave lectures which covered wide and central areas of mathematics. Though the fourteen papers in this volume are mostly original research contributions, some survey articles are included. Centering on the Symposium subject, such diverse topics are covered as Discrete Subgroups of Lie Groups, Invariant Theory, Dmodules, Lie Algebras, Special Functions, Group Actions on Varieties
Proceedings of a Conference on Local Fields; NUFFIC Summer School held at Driebergen (The Netherlands) in 1966 by
T. A Springer(
Book
)
30 editions published between 1966 and 2014 in 3 languages and held by 387 WorldCat member libraries worldwide
From July 25August 6, 1966 a Summer School on Local Fields was held in Driebergen (the Netherlands), organized by the Netherlands Universities Foundation for International Cooperation (NUFFIC) with financial support from NATO. The scientific organizing Committl!e consisted ofF. VANDER BLIJ, A.H.M. LEVELT, A.F. MaNNA, J.P. MuRRE and T.A. SPRINGER. The Summer School was attended by approximately 80 mathematicians from various countries. The contributions collected in the present book are all based on the talks given at the Summer School. It is hoped that the book will serve the same purpose as the Summer School: to provide an introduction to current research in Local Fields and related topics. July 1967 T.A. SPRINGER Contents ARnN, M. and B. MAZUR: Homotopy of Varieties in the Etale Topology 1 BAss, H: The Congruence Subgroup Problem 16 BRUHAT, F. et J. TITs: Groupes algebriques simples sur un corps local . 23 CASSELS, J.W.S. : Elliptic Curves over Local Fields 37 DwoRK, B. : On the Rationality of Zeta Functions and LSeries 40 MaNNA, A.F. : Linear Topological Spaces over NonArchimedean Valued Fields . 56 NERON, A. : Modeles minimaux des espaces principaux homo genes sur les courbes elliptiques 66 RAYNAUD, M. : Passage au quotient par une relation d'equivalence plate . 78 REMMERT, R. : Algebraische Aspekte in der nichtarchimedischen Analysis . 86 SERRE, J.P. : Sur les groupes de Galois attaches aux groupes pdivisibles . 118 SWINNERTONDYER, P. : The Conjectures of Birch and Swinnerton Dyer, and of Tate . 132 TATE, J.T
30 editions published between 1966 and 2014 in 3 languages and held by 387 WorldCat member libraries worldwide
From July 25August 6, 1966 a Summer School on Local Fields was held in Driebergen (the Netherlands), organized by the Netherlands Universities Foundation for International Cooperation (NUFFIC) with financial support from NATO. The scientific organizing Committl!e consisted ofF. VANDER BLIJ, A.H.M. LEVELT, A.F. MaNNA, J.P. MuRRE and T.A. SPRINGER. The Summer School was attended by approximately 80 mathematicians from various countries. The contributions collected in the present book are all based on the talks given at the Summer School. It is hoped that the book will serve the same purpose as the Summer School: to provide an introduction to current research in Local Fields and related topics. July 1967 T.A. SPRINGER Contents ARnN, M. and B. MAZUR: Homotopy of Varieties in the Etale Topology 1 BAss, H: The Congruence Subgroup Problem 16 BRUHAT, F. et J. TITs: Groupes algebriques simples sur un corps local . 23 CASSELS, J.W.S. : Elliptic Curves over Local Fields 37 DwoRK, B. : On the Rationality of Zeta Functions and LSeries 40 MaNNA, A.F. : Linear Topological Spaces over NonArchimedean Valued Fields . 56 NERON, A. : Modeles minimaux des espaces principaux homo genes sur les courbes elliptiques 66 RAYNAUD, M. : Passage au quotient par une relation d'equivalence plate . 78 REMMERT, R. : Algebraische Aspekte in der nichtarchimedischen Analysis . 86 SERRE, J.P. : Sur les groupes de Galois attaches aux groupes pdivisibles . 118 SWINNERTONDYER, P. : The Conjectures of Birch and Swinnerton Dyer, and of Tate . 132 TATE, J.T
Octonions, Jordan algebras, and exceptional groups by
T. A Springer(
Book
)
2 editions published in 2000 in English and held by 274 WorldCat member libraries worldwide
"The 1963 Gottingen notes of T.A. Springer are wellknown in the field but have been unavailable for some time. This book is a translation of those notes, completely updated and revised. The part of the book dealing with the algebraic structures is on a fairly elementary level, presupposing basic results from algebra. In the grouptheoretical part use is made of some results from the theory of linear algebraic groups. The book will be useful to mathematicians interested in octonion algebras and Albert algebras, or in exceptional groups. It suitable for use in a graduate course in algebra."Jacket
2 editions published in 2000 in English and held by 274 WorldCat member libraries worldwide
"The 1963 Gottingen notes of T.A. Springer are wellknown in the field but have been unavailable for some time. This book is a translation of those notes, completely updated and revised. The part of the book dealing with the algebraic structures is on a fairly elementary level, presupposing basic results from algebra. In the grouptheoretical part use is made of some results from the theory of linear algebraic groups. The book will be useful to mathematicians interested in octonion algebras and Albert algebras, or in exceptional groups. It suitable for use in a graduate course in algebra."Jacket
Linear algebraic groups by
T. A Springer(
Book
)
1 edition published in 1998 in English and held by 255 WorldCat member libraries worldwide
1 edition published in 1998 in English and held by 255 WorldCat member libraries worldwide
Algebraische Transformationsgruppen und Invariantentheorie = Algebraic transformation groups and invariant theory by
Deutsche MathematikerVereinigung(
Book
)
12 editions published in 1989 in 3 languages and held by 211 WorldCat member libraries worldwide
12 editions published in 1989 in 3 languages and held by 211 WorldCat member libraries worldwide
Linear algebraic groups by
T. A Springer(
Book
)
14 editions published between 1981 and 2009 in English and Undetermined and held by 111 WorldCat member libraries worldwide
"[The first] ten chapters...are an efficient, accessible, and selfcontained introduction to affine algebraic groups over an algebraically closed field. The author includes exercises and the book is certainly usable by graduate students as a text or for selfstudy...the author [has a] studentfriendly style? [The following] seven chapters... would also be a good introduction to rationality issues for algebraic groups. A number of results from the literature?appear for the first time in a text." ?Mathematical Reviews (Review of the Second Edition) "This book is a completely new version of the first edition. The aim of the old book was to present the theory of linear algebraic groups over an algebraically closed field. Reading that book, many people entered the research field of linear algebraic groups. The present book has a wider scope. Its aim is to treat the theory of linear algebraic groups over arbitrary fields. Again, the author keeps the treatment of prerequisites selfcontained. The material of the first ten chapters covers the contents of the old book, but the arrangement is somewhat different and there are additions, such as the basic facts about algebraic varieties and algebraic groups over a ground field, as well as an elementary treatment of Tannaka's theorem. These chapters can serve as a text for an introductory course on linear algebraic groups. The last seven chapters are new. They deal with algebraic groups over arbitrary fields. Some of the material has not been dealt with before in other texts, such as Rosenlicht's results about solvable groups in Chapter 14, the theorem of Borel and Tits on the conjugacy over the ground field of maximal split tori in an arbitrary linear algebraic group in Chapter 15, and the Tits classification of simple groups over a ground field in Chapter 17. The book includes many exercises and a subject index." ?Zentralblatt Math (Review of the Second Edition)
14 editions published between 1981 and 2009 in English and Undetermined and held by 111 WorldCat member libraries worldwide
"[The first] ten chapters...are an efficient, accessible, and selfcontained introduction to affine algebraic groups over an algebraically closed field. The author includes exercises and the book is certainly usable by graduate students as a text or for selfstudy...the author [has a] studentfriendly style? [The following] seven chapters... would also be a good introduction to rationality issues for algebraic groups. A number of results from the literature?appear for the first time in a text." ?Mathematical Reviews (Review of the Second Edition) "This book is a completely new version of the first edition. The aim of the old book was to present the theory of linear algebraic groups over an algebraically closed field. Reading that book, many people entered the research field of linear algebraic groups. The present book has a wider scope. Its aim is to treat the theory of linear algebraic groups over arbitrary fields. Again, the author keeps the treatment of prerequisites selfcontained. The material of the first ten chapters covers the contents of the old book, but the arrangement is somewhat different and there are additions, such as the basic facts about algebraic varieties and algebraic groups over a ground field, as well as an elementary treatment of Tannaka's theorem. These chapters can serve as a text for an introductory course on linear algebraic groups. The last seven chapters are new. They deal with algebraic groups over arbitrary fields. Some of the material has not been dealt with before in other texts, such as Rosenlicht's results about solvable groups in Chapter 14, the theorem of Borel and Tits on the conjugacy over the ground field of maximal split tori in an arbitrary linear algebraic group in Chapter 15, and the Tits classification of simple groups over a ground field in Chapter 17. The book includes many exercises and a subject index." ?Zentralblatt Math (Review of the Second Edition)
Selecta by
Hans Freudenthal(
Book
)
9 editions published in 2009 in German and English and held by 103 WorldCat member libraries worldwide
Hans Freudenthal (1905  1990) was a Dutch mathematician, born in Luckenwalde, Germany. His scientific activities were of a rich variety. Enrolling at the University of Berlin as a student in the 1920s, he followed in the footsteps of his teachers, and became a topologist, but with a lively interest in group theory. Later in life, after a long journey through the realm of mathematics, working on almost all subjects that drew his interest, he turned towards the practical and methodological issues of the didactics of mathematics
9 editions published in 2009 in German and English and held by 103 WorldCat member libraries worldwide
Hans Freudenthal (1905  1990) was a Dutch mathematician, born in Luckenwalde, Germany. His scientific activities were of a rich variety. Enrolling at the University of Berlin as a student in the 1920s, he followed in the footsteps of his teachers, and became a topologist, but with a lively interest in group theory. Later in life, after a long journey through the realm of mathematics, working on almost all subjects that drew his interest, he turned towards the practical and methodological issues of the didactics of mathematics
Jordan algebras and algebraic groups by
T. A Springer(
)
9 editions published between 1973 and 1998 in English and German and held by 86 WorldCat member libraries worldwide
From the reviews: "This book presents an important and novel approach to Jordan algebras. Jordan algebras have come to play a role in many areas of mathematics, including Lie algebras and the geometry of Chevalley groups. Springer's work will be of service to research workers familiar with linear algebraic groups who find they need to know something about Jordan algebras and will provide Jordan algebraists with new techniques and a new approach to finitedimensional algebras over fields." (American Scientist) "By placing the classification of Jordan algebras in the perspective of classification of certain root systems, the book demonstrates that the structure theories associative, Lie, and Jordan algebras are not separate creations but rather instances of the one allencompassing miracle of root systems. ..." (Math. Reviews)
9 editions published between 1973 and 1998 in English and German and held by 86 WorldCat member libraries worldwide
From the reviews: "This book presents an important and novel approach to Jordan algebras. Jordan algebras have come to play a role in many areas of mathematics, including Lie algebras and the geometry of Chevalley groups. Springer's work will be of service to research workers familiar with linear algebraic groups who find they need to know something about Jordan algebras and will provide Jordan algebraists with new techniques and a new approach to finitedimensional algebras over fields." (American Scientist) "By placing the classification of Jordan algebras in the perspective of classification of certain root systems, the book demonstrates that the structure theories associative, Lie, and Jordan algebras are not separate creations but rather instances of the one allencompassing miracle of root systems. ..." (Math. Reviews)
Octonions, Jordan algebras, and exceptional groups by
T. A Springer(
Book
)
14 editions published between 2000 and 2013 in English and held by 66 WorldCat member libraries worldwide
The 1963 Göttingen notes of T. A. Springer are wellknown in the field but have been unavailable for some time. This book is a translation of those notes, completely updated and revised. The part of the book dealing with the algebraic structures is on a fairly elementary level, presupposing basic results from algebra. In the grouptheoretical part use is made of some results from the theory of linear algebraic groups. The book will be useful to mathematicians interested in octonion algebras and Albert algebras, or in exceptional groups. It is suitable for use in a graduate course in algebra
14 editions published between 2000 and 2013 in English and held by 66 WorldCat member libraries worldwide
The 1963 Göttingen notes of T. A. Springer are wellknown in the field but have been unavailable for some time. This book is a translation of those notes, completely updated and revised. The part of the book dealing with the algebraic structures is on a fairly elementary level, presupposing basic results from algebra. In the grouptheoretical part use is made of some results from the theory of linear algebraic groups. The book will be useful to mathematicians interested in octonion algebras and Albert algebras, or in exceptional groups. It is suitable for use in a graduate course in algebra
Jordan algebras and algebraic groups by
T. A Springer(
Book
)
7 editions published between 1973 and 1998 in English and German and held by 51 WorldCat member libraries worldwide
7 editions published between 1973 and 1998 in English and German and held by 51 WorldCat member libraries worldwide
Ausarbeitung der Vorlesung über Oktaven, JordanAlgebren und Ausnahmegruppen by
T. A Springer(
Book
)
9 editions published in 1963 in German and held by 50 WorldCat member libraries worldwide
9 editions published in 1963 in German and held by 50 WorldCat member libraries worldwide
Over symplectische transformaties by
T. A Springer(
Book
)
8 editions published in 1951 in 3 languages and held by 41 WorldCat member libraries worldwide
8 editions published in 1951 in 3 languages and held by 41 WorldCat member libraries worldwide
Invariant theory by
T. A Springer(
Book
)
3 editions published in 1977 in English and held by 32 WorldCat member libraries worldwide
3 editions published in 1977 in English and held by 32 WorldCat member libraries worldwide
Seminar on algebraic groups and related finite groups, held at the Institute for Advanced Study, Princeton/NJ, 1968/69 by
Armand Borel(
)
4 editions published between 1970 and 2006 in English and held by 26 WorldCat member libraries worldwide
4 editions published between 1970 and 2006 in English and held by 26 WorldCat member libraries worldwide
Hoofdstukken uit de combinatoriek by
P. W. H Lemmens(
Book
)
4 editions published between 1992 and 2006 in Dutch and held by 21 WorldCat member libraries worldwide
De onderwerpen van dit boek vormen een onderdeel van de discrete wiskunde of de combinatoriek. Deze spelen onder meer in de informatica een belangrijke rol. Eerst komen de telproblemen en voortbrengende functies aan de orde, waarna partities en recurrente betrekkingen besproken worden. Verder worden Möbiusfuncties behandeld, de stelling van Polya en grafentheorie. De laatste hoofdstukken gaan over optimalisering , onder andere van stromingen in netwerken, en over Latijnse vierkanten
4 editions published between 1992 and 2006 in Dutch and held by 21 WorldCat member libraries worldwide
De onderwerpen van dit boek vormen een onderdeel van de discrete wiskunde of de combinatoriek. Deze spelen onder meer in de informatica een belangrijke rol. Eerst komen de telproblemen en voortbrengende functies aan de orde, waarna partities en recurrente betrekkingen besproken worden. Verder worden Möbiusfuncties behandeld, de stelling van Polya en grafentheorie. De laatste hoofdstukken gaan over optimalisering , onder andere van stromingen in netwerken, en over Latijnse vierkanten
On the structure of the GL2 of a ring by
P. M Cohn(
Book
)
3 editions published in 1966 in English and held by 17 WorldCat member libraries worldwide
3 editions published in 1966 in English and held by 17 WorldCat member libraries worldwide
Over de ontwikkeling van de algebra by
T. A Springer(
Book
)
2 editions published in 1958 in Dutch and held by 12 WorldCat member libraries worldwide
2 editions published in 1958 in Dutch and held by 12 WorldCat member libraries worldwide
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Related Identities
 Cohen, Arjeh M. Editor
 Stichting voor Internationale Samenwerking der Nederlandse Universiteiten en Hogescholen Organizer of meeting
 Veldkamp, Ferdinand D. 19311999
 Slodowy, Peter Editor
 Kraft, Hanspeter 1944 Editor
 Deutsche MathematikerVereinigung
 Freudenthal, Hans 19051990 Author
 Dalen, D. van (Dirk) 1932 Editor
 European Mathematical Society
 Eysenbach, P. Editor
Useful Links
Associated Subjects
Algebra Algebraic fields Alternative rings Cayley numbers (Algebra) Combinatorial analysis Finite groups Finite simple groups Geometry Geometry, Algebraic Group theory Invariants Jordan algebras Lie algebras Lie groups Linear algebraic groups Local fields (Algebra) Mathematics Matrices Nonassociative algebras Number theory Representations of groups Rings (Algebra) Springer, T. A.(Tonny Albert), Topological groups Topology Transformation groups Transformations (Mathematics)
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Alternative Names
Springer, T.
Springer T.A.
Springer, T.A. 1926
Springer, T. A. 19262011
Springer, Timothy A.
Springer, Tonny A.
Springer, Tonny Albert
Springer, Tonny Albert 1926
Springer, Tonny Albert 19262011
T. A. Springer Dutch mathematician
T. A. Springer matemático neerlandés
T. A. Springer mathématicien néerlandais
T. A. Springer nederlandsk matematikar
T. A. Springer nederländsk matematiker
Tonny Albert Springer niederländischer Mathematiker
Спрингер Т.
トニー・アルバート・シュプリンガー
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