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Monday, May 4, 2020 | History

4 edition of Representation theory of finite groups and finite-dimensional algebras found in the catalog.

Representation theory of finite groups and finite-dimensional algebras

proceedings of the conference at the University of Bielefeld from May 15-17, 1991, and 7 survey articles on topics of representation theory

  • 128 Want to read
  • 25 Currently reading

Published by Birkhäuser Verlag in Basel, Boston .
Written in English

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

  • Edition Notes

    Other titlesFinite-dimensional algebras.
    Statementedited by G.O. Michler, C.M. Ringel.
    SeriesProgress in mathematics ;, v. 95, Progress in mathematics (Boston, Mass.) ;, v. 95.
    ContributionsMichler, G. 1938-, Ringel, Claus Michael., Deutsche Forschungsgemeinschaft.
    Classifications
    LC ClassificationsQA171 .R429 1991
    The Physical Object
    Paginationix, 520 p. :
    Number of Pages520
    ID Numbers
    Open LibraryOL1533273M
    ISBN 103764326042, 0817626042
    LC Control Number91010977

    I understand the representation theory of (finite-dimensional, complex, semisimple) Lie algebras, and have a (working) knowledge of differential geometry and algebraic topology; references that only consider matrix Lie groups are not preferred, though it would be nice if any particularly high-powered differential geometry\topology is kept to a. Introducing the representation theory of groups and finite dimensional algebras, first studying basic non-commutative ring theory, this book covers the necessary background on elementary homological algebra and representations of groups up to block : Alexander Zimmermann.

    Get this from a library! A journey through representation theory: from finite groups to quivers via algebras. [Caroline Gruson; Vera Serganova] -- This text covers a variety of topics in representation theory and is intended for graduate students and more advanced researchers who are interested in the field. The book begins with classical. dimensional representation of Uis a direct sum of irreducible representations. As another example consider the representation theory of quivers. A quiver is a finite oriented graph Q. A representation of Qover a field kis an assignment.

    In book: Trends in ring theory (Miskolc, ), CMS Conf. Proc., 22, Chapter: Representations of finite dimensional algebras and singularity theory, Editors: Vlastimil Dlab and László Marki, pp Author: Helmut Lenzing. Finite dimensional algebras over a finite field § Auslander–Reiten quivers with automorphisms Exercises and Notes Part 2. Some Quantized Algebras Chapter 4. Coxeter groups and Hecke algebras § Coxeter groups § An example: symmetric groups § Parabolic subgroups and affine Weyl groups §


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Representation theory of finite groups and finite-dimensional algebras Download PDF EPUB FB2

Introducing the representation theory of groups and finite dimensional algebras, this book first studies basic non-commutative ring theory, covering the necessary background of elementary homological algebra and representations of groups to block theory.

Representation Theory of Finite Groups and Finite-Dimensional Algebras Proceedings of the Conference at the University of Bielefeld from May 15–17,and 7. Introducing the representation theory of groups and finite dimensional algebras, first studying basic non-commutative ring theory, this book covers the necessary background on elementary homological algebra and representations of groups up to block by: This book is an excellent introduction to representation theory of finite groups, Lie groups and Lie algebras.

It is easy to read, not too dense, contains many exercises, and spends a lot of time on examples before exposing the general theory.

Probably my favorite intro to repn theory by: Representation Theory of Finite Groups and Finite-Dimensional Algebras Proceedings of the Conference at the University of Bielefeld from May 15–17,and 7 Survey Articles on Topics of Representation Theory.

Authors: Michler, Ringel. Free Preview. Abstract. History of the development of finite-dimensional Lie algebras is described in the preface itself. Lie theory has its name from the work of Sophus Lie [], who studied certain transformation groups, that is, the groups of symmetries of algebraic or geometric objects that are now called Lie groups.

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 'Quantum Groups and Hall Algebras'. Recent Advances in the Representation Theory of Finite Dimensional Algebras.- The isomorphism problem for integral group rings of finite groups.- 2.

Research Articles.- Cohen-Macaulay and Gorenstein Artin Algebras.- Classical Invariants and the General Linear Group.- Price: $ 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.

Karin Erdmann's research focus lies on representation theory of finite groups, and finite-dimensional algebras. She has written many research articles, and is the. Abstract. This is a report on advances in the representation theory of finite dimensional algebras in the years – During these years, the German research council (DFG) has sponsered a Forschungsschwerpunkt devoted to the representation theory of finite groups and finite dimensional algebras; it started in and will be finished by Cited by: This book is an introduction to the use of triangulated categories in the study of representations of finite-dimensional algebras.

In recent years representation theory has been an area of intense research and the author shows that derived categories of finite-dimensional Cited by: Introducing the representation theory of groups and finite dimensional algebras, first studying basic non-commutative ring theory, this book covers the necessary background on elementary homological algebra and representations of groups up to block theory.

It further discusses vertices, defect groups, Green and Brauer correspondences and Clifford theory. "The interplay between finite dimensional algebras and Lie theory dates back many years. In more recent times, these interrelations have become even more strikingly apparent.

This text combines, for the first time in book form, the theories of finite dimensional algebras and quantum groups. More precisely, it investigates the Ringel-Hall algebra realization for the positive part of a quantum. The interplay between finite dimensional algebras and Lie theory dates back many years.

In more recent times, these interrelations have become even more strikingly apparent. This text combines, for the first time in book form, the theories of finite dimensional algebras and quantum groups. 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.

The book under review has as its main goal to give an introduction to this theory using the representation theory of Frobenius algebras. The first three chapters give a self-contained and detailed introduction to modern representation theory of finite dimensional algebras over fields, emphasizing the case of Frobenius algebras.

The book begins with classical representation theory of finite groups over complex numbers and ends with results on representation theory of quivers. The text includes in particular infinite-dimensional unitary representations for abelian groups, Heisenberg groups and SL(2), and representation theory of finite-dimensional algebras.

Get this from a library. Representations of finite dimensional algebras and related topics in Lie theory and geometry. [Vlastimil Dlab; Claus Michael Ringel] -- These proceedings are from the Tenth International Conference on Representations of Algebras and Related Topics (ICRA X) held at The Fields Institute.

In addition to the traditional "instructional". This section provides the lecture notes from the course. The present lecture notes arose from a representation theory course given by Prof. Etingof in March within the framework of the Clay Mathematics Institute Research Academy for high school students.

The students in that course — Oleg Golberg, Sebastian Hensel, Tiankai Liu, Alex Schwendner, Elena Yudovina, and Dmitry Vaintrob — co. Lie Algebras and Representation Theory. The primary aim of this note is the introduction and discussion of the finite dimensional semisimple Lie algebras over algebraically closed fields of characteristic and their representations.

Lie algebras and representation, Matrix algebras, Lie groups, Basic structure theory and Basic.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-oriented graphs (quivers) and homological by: 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.