A Course in Finite Group Representation Theory

A Course in Finite Group Representation Theory
Author :
Publisher : Cambridge University Press
Total Pages : 339
Release :
ISBN-10 : 9781107162396
ISBN-13 : 1107162394
Rating : 4/5 (394 Downloads)

Book Synopsis A Course in Finite Group Representation Theory by : Peter Webb

Download or read book A Course in Finite Group Representation Theory written by Peter Webb and published by Cambridge University Press. This book was released on 2016-08-19 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


A Course in Finite Group Representation Theory Related Books

A Course in Finite Group Representation Theory
Language: en
Pages: 339
Authors: Peter Webb
Categories: Mathematics
Type: BOOK - Published: 2016-08-19 - Publisher: Cambridge University Press

GET EBOOK

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 com
Representation Theory of Finite Groups
Language: en
Pages: 166
Authors: Benjamin Steinberg
Categories: Mathematics
Type: BOOK - Published: 2011-10-23 - Publisher: Springer Science & Business Media

GET EBOOK

This book is intended to present group representation theory at a level accessible to mature undergraduate students and beginning graduate students. This is ach
An Introduction to the Representation Theory of Groups
Language: en
Pages: 442
Authors: Emmanuel Kowalski
Categories: Mathematics
Type: BOOK - Published: 2014-08-28 - Publisher: American Mathematical Society

GET EBOOK

Representation theory is an important part of modern mathematics, not only as a subject in its own right but also as a tool for many applications. It provides a
Representation Theory of Finite Groups: Algebra and Arithmetic
Language: en
Pages: 226
Authors: Steven H. Weintraub
Categories: Mathematics
Type: BOOK - Published: 2003 - Publisher: American Mathematical Soc.

GET EBOOK

``We explore widely in the valley of ordinary representations, and we take the reader over the mountain pass leading to the valley of modular representations, t
Introduction to Representation Theory
Language: en
Pages: 240
Authors: Pavel I. Etingof
Categories: Mathematics
Type: BOOK - Published: 2011 - Publisher: American Mathematical Soc.

GET EBOOK

Very roughly speaking, representation theory studies symmetry in linear spaces. It is a beautiful mathematical subject which has many applications, ranging from