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Algebra IX

Finite Groups of Lie Type Finite-Dimensional Division Algebras

A.I. Kostrikin, I.R. Shafarevich (Herausgeber)

Buch | Hardcover

VIII, 240 Seiten

1995 | 1996
Springer Berlin (Verlag)
978-3-540-57038-7 (ISBN)

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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.

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

Erscheint lt. Verlag	1.12.1995
Reihe/Serie	Encyclopaedia of Mathematical Sciences
Co-Autor	R.W. Carter, V.P. Platonov, V.I. Yanchevskii
Übersetzer	P.M. Cohn
Zusatzinfo	VIII, 240 p.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	500 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
Schlagworte	Algebra • Algebra; Handbuch/Lehrbuch • Brauer group • Brauersche Gruppe • cohomology • Darstellungen • division algebra • Divisionsalgebra • endliche Gruppen • finite groups • groups of Lie type • Gruppen vom Lieschen Typ • representations • Representation Theory
ISBN-10	3-540-57038-1 / 3540570381
ISBN-13	978-3-540-57038-7 / 9783540570387
Zustand	Neuware