WorldCat Identities

Benson, D. J. (David J.) 1955-

Overview
Works: 147 works in 425 publications in 2 languages and 5,537 library holdings
Genres: Conference papers and proceedings  Science fiction plays  Drama  Biography  Diaries 
Roles: Author, Editor, Creator, Performer
Classifications: QA171, 781.2
Publication Timeline
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Most widely held works about D. J Benson
 
Most widely held works by D. J Benson
Polynomial invariants of finite groups by D. J Benson( )

16 editions published between 1993 and 1999 in English and held by 1,167 WorldCat member libraries worldwide

This is the first book to deal with invariant theory and the representations of finite groups. By restricting attention to finite groups Dr Benson is able to avoid recourse to the technical machinery of algebraic groups, and he develops the necessary results from commutative algebra as he proceeds. Thus the book should be accessible to graduate students. In detail, the book contains an account of invariant theory for the action of a finite group on the ring of polynomial functions on a linear representation, both in characteristic zero and characteristic p. Special attention is paid to the role played by pseudoreflections, which arise because they correspond to the divisors in the polynomial ring which ramify over the invariants. Also included is a new proof by Crawley-Boevey and the author of the Carlisle-Kropholler conjecture. This volume will appeal to all algebraists, but especially those working in representation theory, group theory, and commutative or homological algebra
Music : a mathematical offering by D. J Benson( Book )

24 editions published between 2006 and 2013 in English and held by 752 WorldCat member libraries worldwide

"Since the time of the Ancient Greeks, much has been written about the relation between mathematics and music: from harmony and number theory, to musical patterns and group theory. Benson provides a wealth of information here to enable the teacher, the student, or the interested amateur to understand, at varying levels of technicality, the real interplay between these two ancient disciplines. The story is long as well as broad and involves physics, biology, psychoacoustics, the history of science, and digital technology as well as, of course, mathematics and music. Starting with the structure of the human ear and its relationship with Fourier analysis, the story proceeds via the mathematics of musical instruments to the ideas of consonance and dissonance, and then to scales and temperaments. This is a must-have book if you want to know about the music of the spheres, digital music, and many things in between."--Publisher's description
Modular representation theory : new trends and methods by D. J Benson( Book )

25 editions published between 1984 and 2006 in English and German and held by 644 WorldCat member libraries worldwide

The aim of this 1983 Yale graduate course was to make some recent results in modular representation theory accessible to an audience ranging from second-year graduate students to established mathematicians. After a short review of background material, three closely connected topics in modular representation theory of finite groups are treated: representations rings, almost split sequences and the Auslander-Reiten quiver, complexity and cohomology varieties. The last of these has become a major theme in representation theory into the 21st century. Some of this material was incorporated into the author's 1991 two-volume Representations and Cohomology, but nevertheless Modular Representation Theory remains a useful introduction
Representations and cohomology by D. J Benson( Book )

56 editions published between 1991 and 2004 in English and held by 529 WorldCat member libraries worldwide

This is the first of two volumes which will provide an introduction to modern developments in the representation theory of finite groups and associative algebras. The subject is viewed from the perspective of homological algebra and the theory of representations of finite dimensional algebras; the author emphasises modular representations and the homological algebra associated with their categories. This volume is self-contained and independent of its successor, being primarily concerned with the exposition of the necessary background material. The heart of the book is a lengthy introduction to the (Auslander–Reiten) representation theory of finite dimensional algebras, in which the techniques of quivers with relations and almost split sequences are discussed in detail. Much of the material presented here has never appeared in book form. Consequently students and research workers studying group theory and indeed algebra in general will be grateful to Dr Benson for supplying an exposition of a good deal of the essential results of modern representation theory
Representations of finite groups : local cohomology and support by D. J Benson( )

21 editions published between 2011 and 2012 in English and held by 457 WorldCat member libraries worldwide

The seminar focuses on a recent solution, by the authors, of a long standing problem concerning the stable module category (of not necessarily finite dimensional representations) of a finite group. The proof draws on ideas from commutative algebra, cohomology of groups, and stable homotopy theory. The unifying theme is a notion of support which provides a geometric approach for studying various algebraic structures. The prototype for this has been Daniel Quillen's description of the algebraic variety corresponding to the cohomology ring of a finite group, based on which Jon Carlson introduced support varieties for modular representations. This has made it possible to apply methods of algebraic geometry to obtain representation theoretic information. Their work has inspired the development of analogous theories in various contexts, notably modules over commutative complete intersection rings and over cocommutative Hopf algebras. One of the threads in this development has been the classification of thick or localizing subcategories of various triangulated categories of representations. This story started with Mike Hopkins' classification of thick subcategories of the perfect complexes over a commutative Noetherian ring, followed by a classification of localizing subcategories of its full derived category, due to Amnon Neeman. The authors have been developing an approach to address such classification problems, based on a construction of local cohomology functors and support for triangulated categories with ring of operators. The book serves as an introduction to this circle of ideas
Classifying spaces of sporadic groups by D. J Benson( Book )

12 editions published between 2008 and 2014 in English and held by 317 WorldCat member libraries worldwide

"For each of the 26 sporadic finite simple groups, the authors construct a 2-completed classifying space using a homotopy decomposition in terms of classifying spaces of suitable 2-local subgroups. This construction leads to an additive decomposition of the mod 2 group cohomology. The authors also summarize the current status of knowledge in the literature about the ring structure of the mod 2 cohomology of sporadic simple groups." "This book begins with a fairly, extensive initial exposition, intended for non-experts of background material on the relevant constructions from algebraic topology, and on local geometries from group theory. The subsequent chapters then use those structures to develop the main results on individual sporadic groups."--Jacket
Arbitrary Lagrangian-Eulerian and fluid-structure interaction : numerical simulation by M Souli( )

12 editions published between 2009 and 2013 in English and held by 273 WorldCat member libraries worldwide

"This book provides the fundamental basics for solving fluid structure interaction problems, and describes different algorithms and numerical methods used to solve problems where fluid and structure can be weakly or strongly coupled. Given the book's comprehensive coverage, engineers, graduate students and researchers involved in the simulation of practical fluid structure interaction problems will find this book extremely useful." --Book Jacket
Mapping class groups of low genus and their cohomology by D. J Benson( Book )

14 editions published in 1991 in English and held by 269 WorldCat member libraries worldwide

Representations of elementary Abelian p-groups and vector bundles by D. J Benson( )

10 editions published between 2016 and 2017 in English and held by 247 WorldCat member libraries worldwide

Questions about modular representation theory of finite groups can often be reduced to elementary abelian subgroups. This is the first book to offer a detailed study of the representation theory of elementary abelian groups, bringing together information from many papers and journals, as well as unpublished research. Special attention is given to recent work on modules of constant Jordan type, and the methods involve producing and examining vector bundles on projective space and their Chern classes. Extensive background material is provided, which will help the reader to understand vector bundles and their Chern classes from an algebraic point of view, and to apply this to modular representation theory of elementary abelian groups. The final section, addressing problems and directions for future research, will also help to stimulate further developments in the subject. With no similar books on the market, this will be an invaluable resource for graduate students and researchers working in representation theory
Representations and cohomology by D. J Benson( Book )

31 editions published between 1991 and 2011 in English and held by 139 WorldCat member libraries worldwide

This is the second of two volumes which will provide an introduction to modern developments in the representation theory of finite groups and associative algebras. The subject is viewed from the perspective of homological algebra and the theory of representations of finite dimensional algebras; the author emphasises modular representations and the homological algebra associated with their categories. This volume concentrates on the cohomology of groups, always with representations in view, however. It begins with a background reference chapter, then proceeds to an overview of the algebraic topology and K-theory associated with cohomology of groups, especially the work of Quillen. Later chapters look at algebraic and topological proofs of the finite generation of the cohomology ring of a finite group, and an algebraic approach to the Steenrod operations in group cohomology. The book cumulates in a chapter dealing with the theory of varieties for modules. Much of the material presented here has never appeared before in book form. Consequently students and research workers studying group theory, and indeed algebra in general, will be grateful to Dr Benson for supplying an exposition of a good deal of the essential results of modern representation theory
Advances in representation theory of algebras by International Conference on Representations of Algebras( Book )

10 editions published between 2013 and 2014 in English and held by 119 WorldCat member libraries worldwide

This volume presents a collection of articles devoted to representations of algebras and related topics. Dististinguished experts in this field presented their work at the International Conference on Representations of Algebras which took place 2012 in Bielefeld. Many of the expository surveys are included here. Researchers of representation theory will find in this volume interesting and stimulating contributions to the development of the subject
Consumption and the Great Recession by Mariacristina De Nardi( )

7 editions published in 2011 in English and held by 57 WorldCat member libraries worldwide

We document some key facts about aggregate consumption and its subcomponents over time. We then document the behavior of some important determinants of consumption, such as consumers' expectations about their future income, and changes in the consumers' wealth positions. Finally, we use a simple permanent income model to show that the observed drop in consumption during the Great Recession can be explained by the observed drops in wealth and income expectations
Polynomial Invariants of Finite Groups by D. J Benson( )

2 editions published in 1993 in English and held by 33 WorldCat member libraries worldwide

This is the first book to deal with invariant theory and the representations of finite groups
Green energy life cycle assessment tool user manual by Robert Lorand( )

1 edition published in 2014 in English and held by 31 WorldCat member libraries worldwide

Iris Wildthyme( )

2 editions published between 2012 and 2013 in English and held by 30 WorldCat member libraries worldwide

Three more adventures for everyone's favourite trans-temporal Adventuress and her long-suffering travelling companion, Panda. The Iris Wildthyme Appreciation Society by Cavan Scott: Panda isn't happy. One minute he's due to be crowned an intergalactic hero with concubines galore and the next Iris is dragging him to the planet Trull, the 42nd Century equivalent of Milton Keynes. As Iris becomes the hottest celeb in the galaxy, little do they know that everyone on Trull is about to die... Iris Rides Out by Guy Adams: Thomas Carnacki, the famed Edwardian Ghost Finder, faces his most terrifying challenge yet. Not only must he rid Mocata Grange of hideous apparitions and rampaging pig-monsters, he must also avoid the advances of that hellcat Iris Wildthyme. Will any of them get through the night alive? Midwinter Murders by George Mann: People are dropping like flies in the Warwickshire village of Midwinter Leys and the number one suspect is Iris Wildthyme. Can Inspector Nettles and Sergeant Spartan find the real culprit before more loveable locals are murdered in increasingly bizarre ways? And will Panda ever get his pork pie?
Easy Pic'n : a beginner's guide to using PICmicrocontrollers from square 1 by D. J Benson( Book )

5 editions published between 1996 and 1999 in English and held by 28 WorldCat member libraries worldwide

Stratifying modular representations of finite groups by D. J Benson( )

4 editions published in 2008 in English and held by 19 WorldCat member libraries worldwide

Solar Photovoltaic Technology Production : Potential Environmental Impacts and Implications for Governance by Senthilarasu Sundaram( )

1 edition published in 2016 in English and held by 18 WorldCat member libraries worldwide

Private world of Kenneth Williams by Kenneth Williams( )

3 editions published in 2004 in English and held by 17 WorldCat member libraries worldwide

In a specially extended version of the radio series first broadcast on BBC Radio, David Benson, who won acclaim for his portrayal of Kenneth Williams in his one-man show, reads extracts from the actor's famous, whilst archive clips show the versatility of Williams the performer. Whether he was a sad, self-obsessed man or a tortured comic genius, Williams had a unique talent. Yet his hugely successful career in theatre, film, radio and television often seems at odds with his stated loathing of himself, his work and those around him
 
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Music : a mathematical offering
Covers
Music : a mathematical offeringModular representation theory : new trends and methodsRepresentations and cohomologyClassifying spaces of sporadic groupsArbitrary Lagrangian-Eulerian and fluid-structure interaction : numerical simulationRepresentations and cohomologyPolynomial Invariants of Finite Groups
Alternative Names
Benson, D.

Benson, D. J.

Benson, D.J. 1955-

Benson, Dave.

Benson, Dave 1955-

Benson, David.

Benson, David 1955-

Benson, David J.

Benson, David J. 1955-

Benson, David John 1955-...

Languages
English (262)

German (3)