Algebra IX
Finite Groups of Lie Type Finite-Dimensional Division Algebras
Seiten
1995
|
1996
Springer Berlin (Verlag)
978-3-540-57038-7 (ISBN)
Springer Berlin (Verlag)
978-3-540-57038-7 (ISBN)
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.
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 |
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