Representation Theory of Finite Reductive Groups
Author: Marc Cabanes
Publisher: Cambridge University Press
Published: 2004-01-29
Total Pages: 457
ISBN-13: 0521825172
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Representations of Reductive Groups
Author: Roger W. Carter
Publisher: Cambridge University Press
Published: 1998-09-03
Total Pages: 203
ISBN-13: 0521643252
DOWNLOAD EBOOK →This volume provides a very accessible introduction to the representation theory of reductive algebraic groups.
Real Reductive Groups I
Author: Nolan R. Wallach
Publisher: Academic Press
Published: 1988-03-01
Total Pages: 439
ISBN-13: 0080874517
DOWNLOAD EBOOK →Real Reductive Groups I is an introduction to the representation theory of real reductive groups. It is based on courses that the author has given at Rutgers for the past 15 years. It also had its genesis in an attempt of the author to complete a manuscript of the lectures that he gave at the CBMS regional conference at The University of North Carolina at Chapel Hill in June of 1981. This book comprises 10 chapters and begins with some background material as an introduction. The following chapters then discuss elementary representation theory; real reductive groups; the basic theory of (g, K)-modules; the asymptotic behavior of matrix coefficients; The Langlands Classification; a construction of the fundamental series; cusp forms on G; character theory; and unitary representations and (g, K)-cohomology. This book will be of interest to mathematicians and statisticians.
Representations of Algebraic Groups
Author: Jens Carsten Jantzen
Publisher: American Mathematical Soc.
Published: 2003
Total Pages: 594
ISBN-13: 082184377X
DOWNLOAD EBOOK →Gives an introduction to the general theory of representations of algebraic group schemes. This title deals with representation theory of reductive algebraic groups and includes topics such as the description of simple modules, vanishing theorems, Borel-Bott-Weil theorem and Weyl's character formula, and Schubert schemes and lne bundles on them.
Modular Representation Theory Of Finite And P-adic Groups
Author: Wee Teck Gan
Publisher: World Scientific
Published: 2015-02-13
Total Pages: 277
ISBN-13: 9814651826
DOWNLOAD EBOOK →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.
Group Representation Theory
Author: Meinolf Geck
Publisher: EPFL Press
Published: 2007-05-07
Total Pages: 472
ISBN-13: 9780849392436
DOWNLOAD EBOOK →After the pioneering work of Brauer in the middle of the 20th century in the area of the representation theory of groups, many entirely new developments have taken place and the field has grown into a very large field of study. This progress, and the remaining open problems (e.g., the conjectures of Alterin, Dade, Broué, James, etc.) have ensured that group representation theory remains a lively area of research. In this book, the leading researchers in the field contribute a chapter in their field of specialty, namely: Broué (Finite reductive groups and spetses); Carlson (Cohomology and representations of finite groups); Geck (Representations of Hecke algebras); Seitz (Topics in algebraic groups); Kessar and Linckelmann (Fusion systems and blocks); Serre (On finite subgroups of Lie groups); Thévenaz (The classification of endo-permutaion modules); and Webb (Representations and cohomology of categories).
Representation Theory of Reductive Groups
Author: Trombi
Publisher: Springer Science & Business Media
Published: 2013-03-13
Total Pages: 299
ISBN-13: 1468467301
DOWNLOAD EBOOK →This volume is the result of a conference on Representation Theory of Reductive Groups held in Park City, Utah, April 16-20, 1982, under the auspices of the Department of Mathematics, University of Utah. Funding for the conference was provided by the National Science Foundation. The text includes a number of original papers together with expository articles on work already in print. It is hoped that the volume will be of use to both experts in the field and nonspecialists interested in obtaining some insight into the area. Principal organizers of the conference were Henryk Hecht, Dragan Mili~ie, and Peter Trombi. They would like to express their thanks to the National Science Foundation for their support, to the speakers for their diligence in submitting their manuscripts, and to Carla Curtis, Karen Edge, and Katherine Ruth, for typing the manuscripts which were contributed. v CONTENTS J. Arthur, Multipliers and a Paley-Wiener theorem for real reductive groups .......................................... .
Representation Theory of Finite Groups
Author: Martin Burrow
Publisher: Courier Corporation
Published: 2014-05-05
Total Pages: 210
ISBN-13: 0486145077
DOWNLOAD EBOOK →DIVConcise, graduate-level exposition covers representation theory of rings with identity, representation theory of finite groups, more. Exercises. Appendix. 1965 edition. /div
Representations of Finite Groups of Lie Type
Author: François Digne
Publisher: Cambridge University Press
Published: 2020-03-05
Total Pages: 267
ISBN-13: 1108481485
DOWNLOAD EBOOK →An up-to-date and self-contained introduction based on a graduate course taught at the University of Paris.
Introduction to Representation Theory
Author: Pavel I. Etingof
Publisher: American Mathematical Soc.
Published: 2011
Total Pages: 240
ISBN-13: 0821853511
DOWNLOAD EBOOK →Very roughly speaking, representation theory studies symmetry in linear spaces. It is a beautiful mathematical subject which has many applications, ranging from number theory and combinatorics to geometry, probability theory, quantum mechanics, and quantum field theory. The goal of this book is to give a ``holistic'' introduction to representation theory, presenting it as a unified subject which studies representations of associative algebras and treating the representation theories of groups, Lie algebras, and quivers as special cases. Using this approach, the book covers a number of standard topics in the representation theories of these structures. Theoretical material in the book is supplemented by many problems and exercises which touch upon a lot of additional topics; the more difficult exercises are provided with hints. The book is designed as a textbook for advanced undergraduate and beginning graduate students. It should be accessible to students with a strong background in linear algebra and a basic knowledge of abstract algebra.
