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Algebra IX

Finite Groups of Lie Type Finite-Dimensional Division Algebras

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
  2. Finite-Dimensional Division Algebras

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

    Pages 235-243

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

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access