Algebra - 9: Algebra IX - Finite Groups of Lie Type Finite-Dimensional Division Algebras

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.

List of contents

Summary of Contents:
1. Finite Groups of Lie Type
2. Conjugacy Classes
3. The Character Theory of Deligne-Lusztig
4. Cuspidal Charakters
5. Unipotent Characters
6. Character Theory Using l-adic Intersection Cohomology
7. The Unipotent Characters in a Family
8. The Generalisation to Non-Unipotent Characters
9. Relations Between Characters and Conjugacy Classes

Product details

• Authors: R. W. Carter, V. P. Platonov, V. I. Yanchevskii
• Assisted by: P. M. Cohn (Editor), I Kostrikin (Editor), A I Kostrikin (Editor), A. I. Kostrikin (Editor), R Shafarevich (Editor), R Shafarevich (Editor), I. R. Shafarevich (Editor), Igor R. Shafarevich (Editor), P. M. Cohn (Translation)
• Publisher: Springer, Berlin
• Languages: English
• Product format: Hardback
• Released: 01.01.1960
• EAN: 9783540570387
• ISBN: 978-3-540-57038-7
• No. of pages: 240
• Weight: 504 g
• Illustrations: VIII, 240 p.
• Sets: Algebra; Algebra
• Series: Encyclopaedia of Mathematical Sciences; Encyclopaedia of Mathematical Sciences
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Arithmetic, algebra