The Degrees Of Irreducible Projective Representations Of Finite Groups

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The Degrees Of Irreducible Projective Representations Of Finite Groups

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Author : R. J. Higgs
language : en
Publisher:
Release Date : 1985

The Degrees Of Irreducible Projective Representations Of Finite Groups written by R. J. Higgs and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with categories.

Group Representations

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Author :
language : en
Publisher: Elsevier
Release Date : 1994-02-18

Group Representations written by and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-02-18 with Mathematics categories.

This third volume can be roughly divided into two parts. The first part is devoted to the investigation of various properties of projective characters. Special attention is drawn to spin representations and their character tables and to various correspondences for projective characters. Among other topics, projective Schur index and projective representations of abelian groups are covered. The last topic is investigated by introducing a symplectic geometry on finite abelian groups.The second part is devoted to Clifford theory for graded algebras and its application to the corresponding theory for group algebras. The volume ends with a detailed investigation of the Schur index for ordinary representations. A prominant role is played in the discussion by Brauer groups together with cyclotomic algebras and cyclic algebras.

Characters Of Finite Groups

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Author : I_A. G. Berkovich
language : en
Publisher: American Mathematical Soc.
Release Date : 1998-09-29

Characters Of Finite Groups written by I_A. G. Berkovich and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-09-29 with Mathematics categories.

This book places character theory and its applications to finite groups within the reach of people with a comparatively modest mathematical background. The work concentrates mostly on applications of character theory to finite groups. The main themes are degrees and kernels of irreducible characters, the class number and the number of nonlinear irreducible characters, values of irreducible characters, characterizations and generalizations of Frobenius groups, and generalizations of monomial groups. The presentation is detailed, and many proofs of known results are new.

The Arcata Conference On Representations Of Finite Groups Part 1

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Author : Paul Fong
language : en
Publisher: American Mathematical Soc.
Release Date : 1987

The Arcata Conference On Representations Of Finite Groups Part 1 written by Paul Fong and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Mathematics categories.

The papers in these proceedings of the 1986 Arcata Summer Institute bear witness to the extraordinarily vital and intense research in the representation theory of finite groups. The confluence of diverse mathematical disciplines has brought forth work of great scope and depth. Particularly striking is the influence of algebraic geometry and cohomology theory in the modular representation theory and the character theory of reductive groups over finite fields, and in the general modular representation theory of finite groups. The continuing developments in block theory and the general character theory of finite groups is noteworthy. The expository and research aspects of the Summer Institute are well represented by these papers.

Characters Of Finite Groups Part 1

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Author : IA. G. Berkovich E. M. Zhmud'
language : en
Publisher: American Mathematical Soc.
Release Date : 1997-12-02

Characters Of Finite Groups Part 1 written by IA. G. Berkovich E. M. Zhmud' and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-12-02 with categories.

This book discusses character theory and its applications to finite groups. The work places the subject within the reach of people with a relatively modest mathematical background. The necessary background exceeds the standard algebra course with respect only to finite groups. Starting with basic notions and theorems in character theory, the authors present a variety of results on the properties of complex-valued characters and applications to finite groups. The main themes are degrees and kernels of irreducible characters, the class number and the number of nonlinear irreducible characters, values of irreducible characters, characterizations and generalizations of Frobenius groups, and generalizations and applications of monomial groups. The presentation is detailed, and many proofs of known results are new. Most of the results in the book are presented in monograph form for the first time. Numerous exercises offer additional information on the topics and help readers to understand the main concepts and results.

Yakov G Berkovich Lev S Kazarin Emmanuel M Zhmud Characters Of Finite Groups Volume 1

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Author : Yakov G. Berkovich
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2017-12-18

Yakov G Berkovich Lev S Kazarin Emmanuel M Zhmud Characters Of Finite Groups Volume 1 written by Yakov G. Berkovich and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-18 with Mathematics categories.

This updated edition of this classic book is devoted to ordinary representation theory and is addressed to finite group theorists intending to study and apply character theory. It contains many exercises and examples, and the list of problems contains a number of open questions.

Yakov G Berkovich Lev S Kazarin Emmanuel M Zhmud Characters Of Finite Groups Volume 2

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Author : Yakov G. Berkovich
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2018-12-17

Yakov G Berkovich Lev S Kazarin Emmanuel M Zhmud Characters Of Finite Groups Volume 2 written by Yakov G. Berkovich and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-12-17 with Mathematics categories.

This updated edition of this classic book is devoted to ordinary representation theory and is addressed to finite group theorists intending to study and apply character theory. It contains many exercises and examples, and the list of problems contains a number of open questions.

Representation Theory Of Finite Groups And Associative Algebras

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Author : Charles W. Curtis
language : en
Publisher: American Mathematical Soc.
Release Date : 2006

Representation Theory Of Finite Groups And Associative Algebras written by Charles W. Curtis and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Mathematics categories.

Provides an introduction to various aspects of the representation theory of finite groups. This book covers such topics as general non-commutative algebras, Frobenius algebras, representations over non-algebraically closed fields and fields of non-zero characteristic, and integral representations.

Projective Representations Of Finite Groups

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Author : Gregory Karpilovsky
language : en
Publisher:
Release Date : 1985

Projective Representations Of Finite Groups written by Gregory Karpilovsky and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Mathematics categories.

This book presents a systematic account of this topic, from the classical foundations established by Schur 80 years ago to current advances and developments in the field. This work focuses on general methods and builds theory solidly on the study of modules over twisted group algebras, and provides a wide range of skill-sharpening mathematical techniques applicable to this subject. Offers an understanding of projective representations of finite groups for algebraists, number theorists, mathematical researchers studying modern algebra, and theoretical physicists.

Representations Of Finite Groups

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Author : Hirosi Nagao
language : en
Publisher: Elsevier
Release Date : 2014-05-10

Representations Of Finite Groups written by Hirosi Nagao and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Mathematics categories.

Representations of Finite Groups provides an account of the fundamentals of ordinary and modular representations. This book discusses the fundamental theory of complex representations of finite groups. Organized into five chapters, this book begins with an overview of the basic facts about rings and modules. This text then provides the theory of algebras, including theories of simple algebras, Frobenius algebras, crossed products, and Schur indices with representation-theoretic versions of them. Other chapters include a survey of the fundamental theory of modular representations, with emphasis on Brauer characters. This book discusses as well the module-theoretic representation theory due to Green and includes some topics such as Burry–Carlson's theorem and Scott modules. The final chapter deals with the fundamental results of Brauer on blocks and Fong's theory of covering, and includes some approaches to them. This book is a valuable resource for readers who are interested in the various approaches to the study of the representations of groups.