Modular Representation Theory Of Finite And P-adic Groups

Modular Representation Theory Of Finite And P-adic Groups
Title Modular Representation Theory Of Finite And P-adic Groups PDF eBook
Author Wee Teck Gan
Publisher World Scientific
Pages 277
Release 2015-02-13
Genre Mathematics
ISBN 9814651826

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This volume is an outgrowth of the program Modular Representation Theory of Finite and p-Adic Groups held at the Institute for Mathematical Sciences at National University of Singapore during the period of 1-26 April 2013. It contains research works in the areas of modular representation theory of p-adic groups and finite groups and their related algebras. The aim of this volume is to provide a bridge — where interactions are rare between researchers from these two areas — by highlighting the latest developments, suggesting potential new research problems, and promoting new collaborations.It is perhaps one of the few volumes, if not only, which treats such a juxtaposition of diverse topics, emphasizing their common core at the heart of Lie theory.

Representation Theory of Finite Groups

Representation Theory of Finite Groups
Title Representation Theory of Finite Groups PDF eBook
Author Martin Burrow
Publisher Academic Press
Pages 196
Release 2014-05-10
Genre Mathematics
ISBN 1483258211

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Representation Theory of Finite Groups is a five chapter text that covers the standard material of representation theory. This book starts with an overview of the basic concepts of the subject, including group characters, representation modules, and the rectangular representation. The succeeding chapters describe the features of representation theory of rings with identity and finite groups. These topics are followed by a discussion of some of the application of the theory of characters, along with some classical theorems. The last chapter deals with the construction of irreducible representations of groups. This book will be of great value to graduate students who wish to acquire some knowledge of representation theory.

A Course in Finite Group Representation Theory

A Course in Finite Group Representation Theory
Title A Course in Finite Group Representation Theory PDF eBook
Author Peter Webb
Publisher Cambridge University Press
Pages 339
Release 2016-08-19
Genre Mathematics
ISBN 1107162394

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This graduate-level text provides a thorough grounding in the representation theory of finite groups over fields and rings. The book provides a balanced and comprehensive account of the subject, detailing the methods needed to analyze representations that arise in many areas of mathematics. Key topics include the construction and use of character tables, the role of induction and restriction, projective and simple modules for group algebras, indecomposable representations, Brauer characters, and block theory. This classroom-tested text provides motivation through a large number of worked examples, with exercises at the end of each chapter that test the reader's knowledge, provide further examples and practice, and include results not proven in the text. Prerequisites include a graduate course in abstract algebra, and familiarity with the properties of groups, rings, field extensions, and linear algebra.

Integral Representations

Integral Representations
Title Integral Representations PDF eBook
Author I. Reiner
Publisher Springer
Pages 284
Release 2006-11-15
Genre Mathematics
ISBN 3540350071

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Representation Theory of Finite Reductive Groups

Representation Theory of Finite Reductive Groups
Title Representation Theory of Finite Reductive Groups PDF eBook
Author Marc Cabanes
Publisher Cambridge University Press
Pages 457
Release 2004-01-29
Genre Mathematics
ISBN 0521825172

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Publisher Description

Modular Representation Theory of Finite Groups

Modular Representation Theory of Finite Groups
Title Modular Representation Theory of Finite Groups PDF eBook
Author Michael J. Collins
Publisher Walter de Gruyter
Pages 277
Release 2011-07-11
Genre Mathematics
ISBN 3110889161

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This book is an outgrowth of a Research Symposium on the Modular Representation Theory of Finite Groups, held at the University of Virginia in May 1998. The main themes of this symposium were representations of groups of Lie type in nondefining (or cross) characteristic, and recent developments in block theory. Series of lectures were given by M. Geck, A. Kleshchev and R. Rouquier, and their brief was to present material at the leading edge of research but accessible to graduate students working in the field. The first three articles are substantial expansions of their lectures, and each provides a complete account of a significant area of the subject together with an extensive bibliography. The remaining articles are based on some of the other lectures given at the symposium; some again are full surveys of the topic covered while others are short, but complete, research articles. The opportunity has been taken to produce a book of enduring value so that this is not a conference proceedings in the conventional sense. Material has been updated so that this book, through its own content and in its extensive bibliographies, will serve as an invaluable resource for all those working in the area, whether established researchers or graduate students who wish to gain a general knowledge of the subject starting from a single source.

Automorphic Forms on GL (3,TR)

Automorphic Forms on GL (3,TR)
Title Automorphic Forms on GL (3,TR) PDF eBook
Author D. Bump
Publisher Springer
Pages 196
Release 2006-12-08
Genre Mathematics
ISBN 3540390553

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