Hiss, G.
Overview
Works:  71 works in 129 publications in 2 languages and 950 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, dgs 
Publication Timeline
.
Most widely held works by
G Hiss
Brauer trees of sporadic groups by
G Hiss(
Book
)
10 editions published in 1989 in English and held by 233 WorldCat member libraries worldwide
10 editions published in 1989 in English and held by 233 WorldCat member libraries worldwide
Algorithmic algebra and number theory : selected papers from a conference held at the University of Heidelberg in October
1997(
Book
)
9 editions published between 1998 and 1999 in English and held by 222 WorldCat member libraries worldwide
This book contains 22 lectures presented at the final conference of the German research program "Algorithmic Number Theory and Algebra 19911997", sponsored by the Deutsche Forschungsgemeinschaft. The purpose of this research program and the meeting was to bring together developers of computer algebra software and researchers using computational methods to gain insight into experimental problems and theoretical questions in algebra and number theory. The book gives an overview on algorithmic methods and results obtained during this period mainly in algebraic number theory, commutative algebra and algebraic geometry, and group and representation theory. Some of the articles illustrate the current state of the computer algebra systems developed with support from the research program, for example KANT and LiDIA for algebraic number theory, SINGULAR, REDLOG and INVAR for commutative algebra and invariant theory respectively, and GAP, SYSYPHOS and CHEVIE for group and representation theory
9 editions published between 1998 and 1999 in English and held by 222 WorldCat member libraries worldwide
This book contains 22 lectures presented at the final conference of the German research program "Algorithmic Number Theory and Algebra 19911997", sponsored by the Deutsche Forschungsgemeinschaft. The purpose of this research program and the meeting was to bring together developers of computer algebra software and researchers using computational methods to gain insight into experimental problems and theoretical questions in algebra and number theory. The book gives an overview on algorithmic methods and results obtained during this period mainly in algebraic number theory, commutative algebra and algebraic geometry, and group and representation theory. Some of the articles illustrate the current state of the computer algebra systems developed with support from the research program, for example KANT and LiDIA for algebraic number theory, SINGULAR, REDLOG and INVAR for commutative algebra and invariant theory respectively, and GAP, SYSYPHOS and CHEVIE for group and representation theory
Imprimitive irreducible modules for finite quasisimple groups by
G Hiss(
Book
)
15 editions published between 1900 and 2015 in English and held by 153 WorldCat member libraries worldwide
Motivated by the maximal subgroup problem of the finite classical groups we begin the classification of imprimitive irreducible modules of finite quasisimple groups over algebraically closed fields K. A module of a group G over K is imprimitive, if it is induced from a module of a proper subgroup of G. We obtain our strongest results when char(K) = 0, although much of our analysis carries over into positive characteristic. If G is a finite quasisimple group of Lie type, we prove that an imprimitive irreducible KGmodule is HarishChandra induced. This being true for char(K) different from the defining characteristic of G, we specialize to the case char(K) = 0 and apply HarishChandra philosophy to classify irreducible HarishChandra induced modules in terms of HarishChandra series, as well as in terms of Lusztig series. We determine the asymptotic proportion of the irreducible imprimitive KGmodules, when G runs through a series groups of fixed (twisted) Lie type. One of the surprising outcomes of our investigations is the fact that these proportions tend to 1, if the Lie rank of the groups tends to infinity. For exceptional groups G of Lie type of small rank, and for sporadic groups G, we determine all irreducible imprimitive KGmodules for arbitrary characteristic of K
15 editions published between 1900 and 2015 in English and held by 153 WorldCat member libraries worldwide
Motivated by the maximal subgroup problem of the finite classical groups we begin the classification of imprimitive irreducible modules of finite quasisimple groups over algebraically closed fields K. A module of a group G over K is imprimitive, if it is induced from a module of a proper subgroup of G. We obtain our strongest results when char(K) = 0, although much of our analysis carries over into positive characteristic. If G is a finite quasisimple group of Lie type, we prove that an imprimitive irreducible KGmodule is HarishChandra induced. This being true for char(K) different from the defining characteristic of G, we specialize to the case char(K) = 0 and apply HarishChandra philosophy to classify irreducible HarishChandra induced modules in terms of HarishChandra series, as well as in terms of Lusztig series. We determine the asymptotic proportion of the irreducible imprimitive KGmodules, when G runs through a series groups of fixed (twisted) Lie type. One of the surprising outcomes of our investigations is the fact that these proportions tend to 1, if the Lie rank of the groups tends to infinity. For exceptional groups G of Lie type of small rank, and for sporadic groups G, we determine all irreducible imprimitive KGmodules for arbitrary characteristic of K
Finite Simple Groups : Thirty Years of the Atlas and Beyond : international conference, Finite Simple Groups: Thirty Years
of the Atlas and Beyond, Celebrating the Atlases and Honoring John Conway, November 25, 2015, Princeton University, Princeton,
NJ by
Manjul Bhargava(
Book
)
10 editions published in 2017 in English and held by 124 WorldCat member libraries worldwide
A mathematics conference partially based on Atlas of finite groups, by John H. Conway, et al. (Oxford University Press, 1985)
10 editions published in 2017 in English and held by 124 WorldCat member libraries worldwide
A mathematics conference partially based on Atlas of finite groups, by John H. Conway, et al. (Oxford University Press, 1985)
Classical finite transformation semigroups : an introduction by
Olexandr Ganyushkin(
)
2 editions published in 2009 in Undetermined and English and held by 30 WorldCat member libraries worldwide
"The aim of this monograph is to give a selfcontained introduction to the modern theory of finite transformation semigroups with a strong emphasis on concrete examples and combinatorial applications. It covers the following topics on the examples of the three classical finite transformation semigroups: transformations and semigroups, ideals and Green's relations, subsemigroups, congruences, endomorphisms, nilpotent subsemigroups, presentations, actions on sets, linear representations, crosssections and variants. The book contains many exercises and historical comments and is directed, first of all, to both graduate and postgraduate students looking for an introduction to the theory of transformation semigroups, but should also prove useful to tutors and researchers."Jacket
2 editions published in 2009 in Undetermined and English and held by 30 WorldCat member libraries worldwide
"The aim of this monograph is to give a selfcontained introduction to the modern theory of finite transformation semigroups with a strong emphasis on concrete examples and combinatorial applications. It covers the following topics on the examples of the three classical finite transformation semigroups: transformations and semigroups, ideals and Green's relations, subsemigroups, congruences, endomorphisms, nilpotent subsemigroups, presentations, actions on sets, linear representations, crosssections and variants. The book contains many exercises and historical comments and is directed, first of all, to both graduate and postgraduate students looking for an introduction to the theory of transformation semigroups, but should also prove useful to tutors and researchers."Jacket
Hecke operators for algebraic modular forms by
Sebastian Schönnenbeck(
)
1 edition published in 2016 in English and held by 17 WorldCat member libraries worldwide
1 edition published in 2016 in English and held by 17 WorldCat member libraries worldwide
On cuspidal and supercuspidal representations of finite reductive groups by
Matthias Klupsch(
)
1 edition published in 2016 in English and held by 17 WorldCat member libraries worldwide
1 edition published in 2016 in English and held by 17 WorldCat member libraries worldwide
On right conjugacy closed loops and right conjugacy closed loop folders by
Katharina Artic(
)
1 edition published in 2017 in English and held by 17 WorldCat member libraries worldwide
1 edition published in 2017 in English and held by 17 WorldCat member libraries worldwide
Zerlegungszahlen endlicher Gruppen vom LieTyp in nichtdefinierender Charakteristik by
G Hiss(
Book
)
4 editions published in 1990 in German and Undetermined and held by 10 WorldCat member libraries worldwide
4 editions published in 1990 in German and Undetermined and held by 10 WorldCat member libraries worldwide
Flat manifolds with only finitely many affinities by
G Hiss(
Book
)
1 edition published in 1996 in English and held by 5 WorldCat member libraries worldwide
1 edition published in 1996 in English and held by 5 WorldCat member libraries worldwide
The 7modular decomposition matrices of the sporadic O'Nan group by Anne Henke(
Book
)
1 edition published in 1997 in English and held by 5 WorldCat member libraries worldwide
1 edition published in 1997 in English and held by 5 WorldCat member libraries worldwide
The Brauer trees of the exceptional Chevalley groups of type E6 by
G Hiss(
Book
)
2 editions published in 1995 in German and English and held by 5 WorldCat member libraries worldwide
2 editions published in 1995 in German and English and held by 5 WorldCat member libraries worldwide
Decomposition matrices of the Chevalley group F4(2) and its covering group by
G Hiss(
Book
)
1 edition published in 1996 in German and held by 4 WorldCat member libraries worldwide
1 edition published in 1996 in German and held by 4 WorldCat member libraries worldwide
HarishChandra theory, qSchur algebras, and decomposition matrices for finite classical groups by
G Hiss(
Book
)
1 edition published in 1995 in German and held by 4 WorldCat member libraries worldwide
1 edition published in 1995 in German and held by 4 WorldCat member libraries worldwide
The Brauer trees of the exceptional Chevalley groups of types F4 and 2E6 by
G Hiss(
Book
)
1 edition published in 1997 in English and held by 4 WorldCat member libraries worldwide
1 edition published in 1997 in English and held by 4 WorldCat member libraries worldwide
Decomposition numbers of finite classical groups for linear primes by Jochen Gruber(
Book
)
1 edition published in 1996 in English and held by 4 WorldCat member libraries worldwide
1 edition published in 1996 in English and held by 4 WorldCat member libraries worldwide
The 5modular characters of the MacLaughlin group and its covering group by
G Hiss(
Book
)
3 editions published in 1991 in English and held by 4 WorldCat member libraries worldwide
3 editions published in 1991 in English and held by 4 WorldCat member libraries worldwide
Über Liftbarkeit modularer Darstellungen endlicher Gruppen by
G Hiss(
Book
)
2 editions published in 1983 in German and held by 4 WorldCat member libraries worldwide
2 editions published in 1983 in German and held by 4 WorldCat member libraries worldwide
Low dimensional representations of special unitary groups by
G Hiss(
Book
)
2 editions published in 2000 in English and held by 4 WorldCat member libraries worldwide
2 editions published in 2000 in English and held by 4 WorldCat member libraries worldwide
Computational group theory : July 30th  August 3rd, 2001(
Book
)
1 edition published in 2001 in English and held by 4 WorldCat member libraries worldwide
1 edition published in 2001 in English and held by 4 WorldCat member libraries worldwide
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Related Identities
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