Kostrikin

Algebra IX

Finite Groups of Lie Type Finite-Dimensional Division Algebras
Mitarbeit:Kostrikin, Aleksei I.; Shafarevich, Igor R.

• Gebundenes Buch

Produktbeschreibung

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.

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Produktdetails

• Encyclopaedia of Mathematical Sciences 77
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-57038-7
• 1995.
• Seitenzahl: 256
• Erscheinungstermin: 1. Dezember 1995
• Englisch
• Abmessung: 241mm x 160mm x 19mm
• Gewicht: 504g
• ISBN-13: 9783540570387
• ISBN-10: 3540570381
• Artikelnr.: 24468540

Autorenporträt

Contributions by R.W. Carter, V.P. Platonov und V.I. Yanchevskii

Inhaltsangabe

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