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Algebra IX

Finite Groups of Lie Type Finite-Dimensional Division Algebras

  • Book
  • © 1996

Overview

Editors:
  1. A. I. Kostrikin

    1. Steklov Mathematical Institute, Moscow, Russia

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  2. I. R. Shafarevich

    1. Steklov Mathematical Institute, Moscow, Russia

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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: Encyclopaedia of Mathematical Sciences (EMS, volume 77)

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Table of contents (2 chapters)

  1. Front Matter

    Pages i-vii
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  2. On the Representation Theory of the Finite Groups of Lie Type over an Algebraically Closed Field of Characteristic 0

    • R. W. Carter
    Pages 1-120

  3. Finite-Dimensional Division Algebras

    • V. P. Platonov, V. I. Yanchevskii
    Pages 121-233

  4. Back Matter

    Pages 235-243
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Keywords

About this book

The first contribution covers the theory of finite groups of Lie type, which is an important field of current mathematical research. After giving the basic information Carter describes the Deligne-Lusztig method of obtaining characters of these groups using l-adic cohomology and subsequent work of Lusztig.
The second part by Platonov and Yanchevskii surveys the structure of finite-dimensional division algebras and includes an account of reduced K-theory.

Editors and Affiliations

  • Steklov Mathematical Institute, Moscow, Russia

    A. I. Kostrikin, I. R. Shafarevich

Bibliographic Information

  • Book Title: Algebra IX

  • Book Subtitle: Finite Groups of Lie Type Finite-Dimensional Division Algebras

  • Editors: A. I. Kostrikin, I. R. Shafarevich

  • Series Title: Encyclopaedia of Mathematical Sciences

  • DOI: https://doi.org/10.1007/978-3-662-03235-0

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1996

  • Hardcover ISBN: 978-3-540-57038-7Published: 01 December 1995

  • Softcover ISBN: 978-3-642-08167-5Published: 01 December 2010

  • eBook ISBN: 978-3-662-03235-0Published: 17 April 2013

  • Series ISSN: 0938-0396

  • Edition Number: 1

  • Number of Pages: VIII, 240

  • Additional Information: Original Russian edition published by VINITI, Moscow, 1992

  • Topics: Group Theory and Generalizations, Algebra, K-Theory, Number Theory, Algebraic Geometry

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