The representation theory of finite groups by Walter Feit

Cover of: The representation theory of finite groups | Walter Feit

Published by North-Holland Pub. Co., sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co. in Amsterdam, New York .

Written in English

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Subjects:

  • Modular representations of groups.,
  • Finite groups.

Edition Notes

Book details

StatementWalter Feit.
SeriesNorth-Holland mathematical library
Classifications
LC ClassificationsQA171 .F36 1982
The Physical Object
Paginationxiv, 502 p. ;
Number of Pages502
ID Numbers
Open LibraryOL4114440M
ISBN 100444861556
LC Control Number80029622

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This volume contains a concise exposition of the theory of finite groups, including the theory of modular representations.

The rudiments of linear algebra and knowledge of the elementary concepts of group theory are useful, if not entirely indispensable, prerequisites for reading this book; most of the other requisites, such as the theory of p-adic fields, are developed in the by: This book is an introductory course and it could be used by mathematicians and students who would like to learn quickly about the representation theory and character theory of finite groups, and for non-algebraists, statisticians and physicists who use representation theory.” (Jamshid Moori, Mathematical Reviews, Issue j)Cited by: The representation theory of nite groups has a long history, going back to the 19th century and earlier.

A milestone in the subject was the de nition of characters of nite groups by Frobenius in Prior to this there was some use of the ideas which we can now identify as representation theory (characters of cyclic groups as used byFile Size: 1MB.

This book is a unique survey of the whole field of modular representation theory of finite groups. The main topics are block theory and module theory of group representations, including blocks with cyclic defect groups, symmetric groups, groups of Lie type, local-global conjectures. Peter Webb's Representation Theory Book My book: A Course in Finite Group Representation Theory The book arises from notes of courses taught at the second year graduate level The representation theory of finite groups book the University of Minnesota and is suitable to accompany study at that level.

I had two books in hand, firstly ''Representation theory of finite groups, An introductory Approach'' by Benjamin Steinberg, and secondly Serre's ''Linear Representations of Finite Groups.'' I definitely recommend Serre's book (where you should read the The representation theory of finite groups book part.

Representation Theory of Finite Groups Benjamin Steinberg School of Mathematics and Statistics Carleton University [email protected] Decem Preface This book arose out of course notes for a fourth year undergraduate/ rst The representation theory of nite groups is a subject going back to the.

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.

Applications of Finite Groups focuses on the applications of finite groups to problems of physics, including representation theory, crystals, wave equations, and nuclear and molecular structures.

The book first elaborates on matrices, groups, and representations. Branches of group representation theory. The representation theory of groups divides into subtheories depending on the kind of group being represented. The various theories are quite different in detail, though some basic definitions and concepts are similar.

The most important divisions are: Finite groups — Group representations are a very. The primary goal of these lectures is to introduce a beginner to the finite­ dimensional representations of Lie groups and Lie algebras.

Since this goal is shared by quite a few other books, we should explain in this Preface how our approach differs, although the potential reader can probably see this better by a quick browse through the book.

This book provides an accessible introduction to the state of the art of representation theory of finite groups. Starting from a basic level that is summarized at the start, the book proceeds to cover topics of current research interest, including open problems and conjectures.

Representation Theory of Finite Groups book. Read reviews from world’s largest community for readers. This book is intended to present group representati /5(5). 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 by: 8.

reading and reference will be Martin Isaacs’ Character Theory of Finite Groups. We will cover about half of the book over the course of this semester.

It is (according to Professor Hermann) a readable book, so it would be appropriate for this (planned-to-be) reading course.

Representation Theory of Finite Groups Professor: Dr. Peter Hermann. Chapter 5. Representation Theory of Finite Abelian Groups over C 17 Example of representation over Q 19 Chapter 6. The Group Algebra k[G] 21 Chapter 7.

Constructing New Representations 23 Subrepresentation and Sum of Representations 23 Adjoint Representation 23 Tensor Product of two Representations 24 Restriction of a.

Basic Problem of Representation Theory: Classify all representations of a given group G, up to isomorphism. For arbitrary G, this is very hard. We shall concentrate on finite groups, where a very good general theory exists. Later on, we shall study some examples. A comprehensive, modern treatment of representation theory of finite groups and orders that discusses theory, applications and connections to other branches of mathematics.

Written by two experts in the field, it covers classical, modular and integral representation theory and contains many new, important s: 0. Page - L. Solomon, The representation of finite groups in algebraic number fields, J. Math. Soc. Japan, 13 (), Appears in 12 books from Less1/5(1).

Historical note. The first edition of Burnside's Theory of Groups of Finite Order was published one hundred years ago; it was the first book on group theory in English. In the preface, Burnside explained his decision to treat permutation representations but not matrix representations as follows.

Finite dimensional algebras 49 x Characters of representations 52 theory of nite groups. The goal of this book is to give a \holistic" introduction to rep- The book covers a number of standard topics in representation theory of groups, associative algebras, Lie algebras, and quivers.

File Size: KB. Representation Theory of Finite Groups: An Introductory Approach Benjamin Steinberg. This book is intended to present group representation theory at a level accessible to mature undergraduate students and beginning graduate students. This is achieved by mainly keeping the required background to the level of undergraduate linear algebra, group.

This volume contains a concise exposition of the theory of finite groups, including the theory of modular representations. The rudiments of linear algebra and knowledge of the elementary concepts of group theory are useful, if not entirely indispensable, prerequisites for reading this book; most of the other requisites, such as the theory of p-adic fields, are developed in the text.

Representation theory of finite groups and associative algebras Item Preview remove-circle Share or Embed This Item. Internet Archive Language English Volume First published Access-restricted-item true Addeddate Bookplateleaf Pages: Representation Theory of Finite Groups and Homological Algebra.

Link to Canvas Page. This course is Math / and consists of two parts: Representation Theory of Finite Groups. A representation of a finite group is an embedding of the group into a matrix group.

This volume contains a concise exposition of the theory of finite groups, including the theory of modular representations. The rudiments of linear algebra and knowledge of the elementary concepts of group theory are useful, if not entirely indispensable, prerequisites for reading this book; most of the other requisites, such as the theory of p-adic fields, are developed in the : Dover Publications.

Representation Theory of Symmetric Groups is the most up-to-date abstract algebra book on the subject of symmetric groups and representation theory. Utilizing new research and results, this book can be studied from a combinatorial, algorithmic or algebraic viewpoint.

Finite groups and their representations. 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. 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 Edition: 1. the representation theory of the symmetric group, can be read immediately after Chapter 7.

Although this book is envisioned as a text for an advanced undergraduateAuthor: Benjamin Steinberg. Representation theory resources and references Representation theory of finite groups n, Representation theoryRepresentation Theory Book is, Group representations in probability and statisticsSymmetry, Groups and Their ApplicationsRepresentations of finite groups ta, Notes on representations of algebras and finite groups.

The representation theory of finite groups is a subject going back to the late eighteen hundreds. The pioneers in the subject were G. Frobenius, I. Schur, and W. Burnside. The representation theory of finite groups. [Walter Feit] Print book: EnglishView all editions and formats: Rating: (not yet rated) 0 with reviews - Be the first.

not only the most important handbook on modular representation theory for the working mathematician. Read "Representation Theory of Finite Groups An Introductory Approach" by Benjamin Steinberg available from Rakuten Kobo.

This book is intended to present group representation theory at a level accessible to mature undergraduate students and Brand: Springer New York. Topics of the workshop include -- Global-local conjectures in the representation theory of finite groups -- Representations and cohomology of simple, algebraic and finite groups -- Connections to Lie theory and categorification, and -- Applications to group theory, number theory, algebraic geometry, and.

Introducing finite-dimensional representations of Lie groups and Lie algebras, this example-oriented book works from representation theory of finite groups, through Lie groups and Lie algrbras to the finite dimensional representations of the classical groups.

First published inthis classic book remains a remarkably complete introduction to various aspects of the representation theory of finite groups. One of its main advantages is that the authors went far beyond the standard elementary representation theory, including a masterly treatment of topics such as general non-commutative algebras.

The representation theory of finite groups. [Walter Feit] This important book is very well written not only the most important handbook on modular representation theory for the working mathematician.

Representation Theory Book We need the first 5 sections (pages ). Representations of finite groups; ta, Notes on representations of algebras and finite groups; n, Notes on the representation theory of finite group; f et al.

Introduction to representation theory also discusses category theory. Representation Theory of Finite Groups and Associative Algebras - Ebook written by Charles W. Curtis, Irving Reiner. Read this book using Google Play Books app on your PC, android, iOS devices.

Download for offline reading, highlight, bookmark or take notes while you read Representation Theory of Finite Groups and Associative Algebras. If you are an undergrad looking for representation theory of finite groups then the answer is the first two parts of Serre's book. edit: In case you are a grad student interested in entering geometric representation theory, then you already know about: D-Modules, perverse sheaves and representation theory by.

This book is an introduction to the representation theory of finite groups from an algebraic point of view, regarding representations as modules over the group algebra.

The approach is to develop the requisite algebra in reasonable generality and then .Representations of Finite Groups: A Hundred Years, Part II T. Y. Lam Recapitulation The origin of the representation theory of finite groups can be traced back to a correspondence be-tween R.

Dedekind and F. G. Frobenius that took place in April of The present article is based on several lectures given by the author in inFile Size: KB.

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