Lambda-Rings and the Representation Theory of the Symmetric Group PDF Download

Author: Donald Knutson
Publisher: Lecture Notes in Mathematics
ISBN:
Category : Mathematics
Languages : en
Pages : 216

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Author: Donald Knutson
Publisher: Springer
ISBN: 3540384081
Category : Mathematics
Languages : en
Pages : 208

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Author: Gordon Douglas James
Publisher: Cambridge University Press
ISBN: 0521302366
Category : Mathematics
Languages : en
Pages : 0

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Book Description
The Representation Theory of the Symmetric Group provides an account of both the ordinary and modular representation theory of the symmetric groups. The range of applications of this theory is vast, varying from theoretical physics, through combinatories to the study of polynomial identity algebras; and new uses are still being found.

Author: Peter Webb
Publisher: Cambridge University Press
ISBN: 1107162394
Category : Mathematics
Languages : en
Pages : 339

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Book Description
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.

Author: Donald Knutson
Publisher:
ISBN: 9783662188644
Category :
Languages : en
Pages : 216

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Book Description

Author: Benjamin Steinberg
Publisher: Springer Science & Business Media
ISBN: 1461407761
Category : Mathematics
Languages : en
Pages : 166

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Book Description
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 theory and very basic ring theory. Module theory and Wedderburn theory, as well as tensor products, are deliberately avoided. Instead, we take an approach based on discrete Fourier Analysis. Applications to the spectral theory of graphs are given to help the student appreciate the usefulness of the subject. A number of exercises are included. This book is intended for a 3rd/4th undergraduate course or an introductory graduate course on group representation theory. However, it can also be used as a reference for workers in all areas of mathematics and statistics.

Author:
Publisher: World Scientific
ISBN: 9814299103
Category : Commutative rings
Languages : en
Pages : 205

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Book Description
"This book gives a self-contained introduction to the theory of lambda-rings and closely related topics, including Witt vectors, integer-valued polynomials, and binomial rings. Many of the purely algebraic results about lambda-rings presented in this book have never appeared in book form before. This book concludes with a chapter on open problems related to lambda-rings."-

Author: Martin Burrow
Publisher: Academic Press
ISBN: 1483258211
Category : Mathematics
Languages : en
Pages : 196

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Book Description
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.

Author: Alexei Borodin
Publisher: Cambridge University Press
ISBN: 1107175550
Category : Mathematics
Languages : en
Pages : 169

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Book Description
An introduction to the modern representation theory of big groups, exploring its connections to probability and algebraic combinatorics.

Author: Dudley Ernest Littlewood
Publisher: American Mathematical Soc.
ISBN: 0821840673
Category : Mathematics
Languages : en
Pages : 322

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Book Description
Originally written in 1940, this book remains a classical source on representations and characters of finite and compact groups. The book starts with necessary information about matrices, algebras, and groups. Then the author proceeds to representations of finite groups. Of particular interest in this part of the book are several chapters devoted to representations and characters of symmetric groups and the closely related theory of symmetric polynomials. The concluding chapters present the representation theory of classical compact Lie groups, including a detailed description of representations of the unitary and orthogonal groups. The book, which can be read with minimal prerequisites (an undergraduate algebra course), allows the reader to get a good understanding of beautiful classical results about group representations.