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Wednesday, July 8, 2020 | History

3 edition of Representation theory of finite groups and associative algebras found in the catalog.

Representation theory of finite groups and associative algebras

Charles W. Curtis

Representation theory of finite groups and associative algebras

by Charles W. Curtis

  • 327 Want to read
  • 29 Currently reading

Published by Interscience Publishers in New York .
Written in English

    Subjects:
  • Representations of groups.,
  • Associative algebras.

  • Edition Notes

    Includes bibliography.

    Statement[by] Charles W. Curtis [and] Irving Reiner.
    SeriesPure and applied mathematics,, v. 11, Pure and applied mathematics (Interscience Publishers) ;, v. 11.
    ContributionsReiner, Irving, joint author.
    Classifications
    LC ClassificationsQA171 .C86
    The Physical Object
    Pagination685 p.
    Number of Pages685
    ID Numbers
    Open LibraryOL5855514M
    LC Control Number62016994

      This is the first of two volumes providing an introduction to modern developments in the representation theory of finite groups and associative algebras, which have transformed the subject into a study of categories of modules. Thus, Dr. Price: $ 10 1. INTRODUCTION TO REPRESENTATION THEORY OF FINITE GROUPS. Then ρ: G→GL(F(G)) is a linear representation. (5) Recall that the group algebra k(G) is the vector space of all finite linear combinations P cgg, cg ∈k with natural multiplication. We define the regular representation R: G→GL(k(G)) in the following way Rs X cgg = X cgsg File Size: 1MB.

      Representation theory of finite groups and associative algebras by Charles W. Curtis; 5 editions; First published in ; Subjects: Associative algebras, Representations of . This book offers a self-contained and up-to-date account of the representation theory of finite groups and associative rings and algebras. It pays particular attention to the theory of induced characters and induced representations, quasi-Frobenius rings and Frobenius algebras, integral representations, and the theory of modular : $

      The first point that I should make about this book is about its audience. Though published in the series of London Mathematical Society Student Texts, Elements of the Representation Theory of Associative Algebras is by no means geared toward advanced undergraduate or beginning graduate students. In fact, its authors explain at the very . “The focus of this text is the representation theory of associative algebras and the modular representation theory of finite groups, with an emphasis on the interplay between these two fields. the text at hand is aimed at a beginning graduate student .


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Representation theory of finite groups and associative algebras by Charles W. Curtis Download PDF EPUB FB2

Representation Theory of Finite Groups and Associative Algebras Volume of AMS Chelsea Publishing Series Pure and applied mathematics: Authors: Charles W. Curtis, Irving Reiner: Publisher: American Mathematical Soc., ISBN:Length: pages: Subjects1/5(1). The book covers a number of standard topics in representation theory of groups, associative algebras, Lie algebras, and quivers.

For a more detailed treatment of these topics, we refer the reader to the textbooks [S], [FH], and [CR]. We mostly follow [FH], with the exception of the sections discussing quivers, which follow [BGP], andFile Size: KB. Representation Theory of Finite Groups and Associative Algebras Base Product Code Keyword List: chel/; CHEL/; this 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. This is the first of two volumes providing an introduction to modern developments in the representation theory of finite groups and associative algebras, which have transformed the subject into a study of categories of modules.

Thus, Dr. Benson's unique perspective in this book incorporates homological algebra and the theory of representations Author: D.

Benson. 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: 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 Cited by:   The authors themselves recognized some of these problems, and went on to write a massive second book, Methods of Representation Theory: With Applications to Finite Groups and Orders, which filled two volumes and never quite caught on like their first book.

It was last reprinted in the "Wiley Classics Library", but seems now to be out of print. 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. Get this from a library.

Representation theory of finite groups and associative algebras. [Charles W Curtis; Irving Reiner]. Representation theory of finite groups and associative algebras Charles W.

Curtis, Irving Reiner First published inthis classic book remains a remarkably complete introduction to various aspects of the representation theory of finite groups. Representation Theory Of Finite Groups And Associative Algebras book. Read reviews from world’s largest community for readers.

Offers an introduction to Ratings: 0. Offers an introduction to various aspects of the representation theory of finite groups. The authors go beyond the standard elementary representation theory, including a treatment of topics such as general non-commutative algebras, Frobenius algebras, and representations over non-algebraically closed fields and fields of non-zero characteristic.

The representation theory of nite groups is a subject going back to the late eighteen hundreds. The earliest pioneers in the subject were Frobenius, Schur and Burnside. Modern approaches tend to make heavy use of module theory and the Wedderburn theory of.

Now in paperback this is the second of two volumes that will provide an introdcution to modern developments in the representation theory of finite groups and associative algebras.

The subject is viewed from the perspective of homological algebra and the theory of representations of finite dimensional algebras; the author emphasises modular representations and the homological. Buy Representation Theory of Finite Groups and Associative Algebras (AMS/Chelsea Publication) (AMS Chelsea Publishing) New e.

by Curtis, Charles W., Reiner, Irving (ISBN: ) from Amazon's Book Store. Everyday low prices and free delivery on eligible : Charles W.

Curtis. In technical terms, representation theory studies representations of associative algebras. Its general content can be very briefly summarized as follows.

An associative algebra over a field kis a vector space Aover kequipped with an associative bilinear multiplication a,b→ ab, a,b∈ A. We will always consider associative algebras with unit. 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.

- Elements of the Representation Theory of Associative Algebras, Volume 2: Tubes and Concealed Algebras of Euclidean type Daniel Simson and Andrzej SkowronskiFile Size: 79KB.

This first part of a two-volume set offers a modern account of the representation theory of finite dimensional associative algebras over an algebraically closed field.

The authors present this topic from the perspective of linear representations of finite Cited by:   Representations and Cohomology: Volume 1, Basic Representation Theory of Finite Groups and Associative Algebras by D.

Benson,available at Book Depository with free delivery worldwide.3/5(1). In addition to the traditional 'instructional' workshop preceding the conference, there were also workshops on 'Commutative Algebra, Algebraic Geometry and Representation Theory', 'Finite Dimensional Algebras, Algebraic Groups and Lie Theory', and .Representation theory is a broad field that studies the symmetries of mathematical objects.

A representation of an object is a way to "linearize" that object as a group of matrices. It's the non-commutative analog of classical Fourier transforms.This textbook provides an accessible introduction to the representation theory of algebras, including representations of quivers.

The book starts with basic topics on algebras and modules before studying representations of quivers in detail, leading to .