Representation of groups

with special consideration for the needs of modern physics by Hermann Boerner

Publisher: North-Holland Pub. Co. in Amsterdam

Written in English
Published: Pages: 325 Downloads: 196
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Subjects:

  • Groups, Theory of
  • Edition Notes

    Statement[translated from the German by P.G. Murphy, in cooperation with J. Mayer-Kalkschmidt and P. Carr]
    SeriesSeries in physics
    Classifications
    LC ClassificationsQA171 B6453
    The Physical Object
    Pagination325p.
    Number of Pages325
    ID Numbers
    Open LibraryOL16498123M

There are already many good books on representation theory for all kinds of groups. Two of the best (in this author’s opinion) are the one by A.W. Knapp: “Representation Theory for Semisimple Groups. An Overview based on Examples” [Kn1] and by G.W. Mackey: “Induced Representations in Physics, Probability and Number Theory” [Ma1]. ‎The representation theory of the symmetric groups is a classical topic that, since the pioneering work of Frobenius, Schur and Young, has grown into a huge body of theory, with many important connections to other areas of mathematics and physics. This self-contained book provides a detailed introduc.   The title of this book is Representation Theory of Finite Groups and it was written by Benjamin Steinberg. This particular edition is in a Paperback format. This books publish date is and it has a suggested retail price of $ It was published by Springer and has a total of pages in the book. This treatise is devoted to the description and detailed study of the representations of the rotation group of three dimensional space and of the Lorentz group. These groups are of fundamental importance in theoretical physics. The book is also designed for mathematicians studying the representations of Lie groups.

Questions about modular representation theory of finite groups can often be reduced to elementary abelian subgroups. This is the first book to offer a detailed study of the representation theory of elementary abelian groups, bringing together information from many papers and journals, as well as unpublished research. 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. 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. Chapter 6. Symmetric groups, Schur–Weyl duality and PSH algebras 1. Representations of symmetric groups 2. Schur–Weyl duality. 3. Generalities on Hopf algebras 4. The Hopf algebra associated to the representations of symmetric groups 5. Classification of PSH algebras part 1: Zelevinsky’s decomposition theorem 6.

Purchase Representations of *-Algebras, Locally Compact Groups, and Banach *-Algebraic Bundles, Volume 1 - 1st Edition. Print Book & E-Book. ISBN , Price: $   Representations of Reductive p-adic Groups by Anne-Marie Aubert, Manish Mishra, Alan Roche, Steven Spallone, , Springer edition, hardcoverPages: Geometry of group representations proceedings of the AMS-IMS-SIAM Joint Summer Research Conference held July , with support from the National Science Foundation This edition published in by American Mathematical Society in Providence, :   This is an excellent treatment of representation theory, especially focusing on the concrete problem of characterizing all the irreducible representations for some specific important groups such as SU(n) and the symmetric groups S_n. It gets to the point s: 1.

Representation of groups by Hermann Boerner Download PDF EPUB FB2

I'm still kind of a novice at representation theory, but in my math marathon to satisfy my curiosity about 2-modular representations of the symmetric group, this book been perfect!. The exercises are thoroughly engaging, whereby you can attain transcendent abandon without complete mastery of the by: The representation theory of finite groups has seen rapid growth in recent years with the development of efficient algorithms and computer algebra systems.

This is the first book to provide an introduction to the ordinary and modular representation theory of finite groups with special emphasis on the computational aspects of the subject.5/5(1).

The representation theory of finite groups has seen rapid growth in recent years with the development of efficient algorithms and computer algebra systems. This is the first book to provide an introduction to the ordinary and modular representation theory of finite groups with special emphasis on the computational aspects of the by: The representation theory of finite groups has seen rapid growth in recent years with the development of efficient algorithms and computer algebra systems.

This is the first book to provide an introduction to the ordinary and modular representation theory of finite groups with special emphasis on the computational aspects of the subject.

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 : Springer International Publishing.

The second part of the book is devoted to the representation theory of reductive algebraic groups and includes topics such as the description of simple modules, vanishing theorems, the Borel-Bott-Weil theorem and Weyl's character formula, and Schubert schemes and line bundles on them.

This is a significantly revised edition of a modern classic. This book gives an exposition of the fundamentals of the theory of linear representations of finite and compact groups, as well as elements of the the ory of linear representations of Lie groups.

As an application we derive the Laplace spherical functions. The book is based on lectures that I delivered in the framework of the experimental program at the Mathematics-Mechanics Faculty of Moscow. CHAPTER 1 Introduction Representation theory is the study of the concrete ways in which abstract groups can be realized as groups of rigid transformations of R n(or C).

First, let us recall the idea of a group. This book is based on several courses given by the authors since It introduces the reader to the representation theory of compact Lie groups.

We have chosen a geometrical and analytical approach since we feel that this is the easiest way to motivate and establish the theory and to indicate. 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 first part only, the.

The most important examples of finite groups are the group of permutations of a set of n objects, known as the symmetric group, and the group of non-singular n-by-n matrices over a finite field, which is called the general linear group. This book examines the representation theory of the general linear groups, and reveals that there is a close Cited by: Representation Theory of Finite Groups presents group representation theory at a level accessible to advanced undergraduate students and beginning graduate students.

The required background is maintained to the level of linear algebra, group theory, and very basic ring theory and avoids prerequisites in analysis and topology by dealing exclusively with finite groups. gebra. Theoretical material in this book is supplemented by many problems and exercises which touch upon a lot of additional topics; the more di cult exercises are provided with hints.

The book covers a number of standard topics in representation theory of groups, associative algebras, Lie.

Representations of Finite Groups provides an account of the fundamentals of ordinary and modular representations. This book discusses the fundamental theory of complex representations of finite groups.

Organized into five chapters, this book begins with an overview of the basic facts about rings and Edition: 1. 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.

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 : Martin Burrow.

The book is designed to appeal to several audiences, primarily mathematicians working either in group representation theory or in areas of mathematics where representation theory is involved.

Parts of it may be used to introduce undergraduates to representation theory by studying the appealing pattern structure of group matrices.

In the mathematical field of representation theory, group representations describe abstract groups in terms of bijective linear transformations (i.e. automorphisms) of vector spaces; in particular, they can be used to represent group elements as invertible matrices so that the group operation can be represented by matrix entations of groups are important because they allow.

While representations rarely portray the ordinariness of working class life, recurrent themes, from news reports, through documentaries to entertainment shows, represent the working classes as: Media Representations of Social Groups Representations Social Class Media tropes: The working class all live on run-down council estates.

However, there is indeed a lack of representation of minority groups in books. I totally agree that the lack of representation has become an important issue in literature and that minorities should be depicted more in books.

In that being said however, any representation should not be accepted just because of the lack of it. 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 by: thereby giving representations of the group on the homology groups of the space. If there is torsion in the homology these representations require something other than ordinary character theory to be understood.

This book is written for students who are studying nite group representation theory beyond the level of a rst course in abstract algebra. Thus the book discusses in some detail the fundamental notions of representation theory for arbitrary groups.

It then considers the special case of complex representations of finite groups and discusses the representations of compact groups, in both cases with some important applications. There is a short introduction to algebraic groups as. As a final example consider the representation theory of finite groups, which is one of the most fascinating chapters of representation theory.

In this theory, one considers representations of the group algebra A= C[G] of a finite group G– the algebra with basis ag,g∈ Gand multiplication law agah = agh. We will show that any finite. 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. 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.

This book is an excellent way of introducing today’s students to representation theory of the symmetric groups. In this classic work, Anthony W. Knapp offers a survey of representation theory of semisimple Lie groups in a way that reflects the spirit of the subject and corresponds to the natural learning process.

This book is a model of exposition and an invaluable resource for both graduate students and researchers. Although theorems are always stated precisely, many illustrative examples or classes of. This book consists of survey articles and original research papers in the representation theory of reductive p-adic particular, it includes a survey by Anne-Marie Aubert on the enormously influential local Langlands conjectures.

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. Representation Theory of Semisimple Groups: An Overview Based on Examples (PMS) - Ebook written by Anthony W.

Knapp. 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 Semisimple Groups: An Overview Based on Examples (PMS).

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 /5(7).

The representation theory of the symmetric groups is a classical topic that, since the pioneering work of Frobenius, Schur and Young, has grown into a huge body of theory, with many important connections to other areas of mathematics and physics/5.thereby giving representations of the group on the homology groups of the space.

If there is torsion in the homology these representations require something other than ordinary character theory to be understood. This book is written for students who are studying nite group representation theory beyond the level of a rst course in abstract Size: 1MB.