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.

Table des matières

I. On the Representation Theory of the Finite Groups of Lie Type over an Algebraically Closed Field of Characteristic O.- II. Finite-Dimensional Division Algebras.- Author Index.

Détails du produit

• Auteurs: R. W. Carter, V. P. Platonov, V. I. Yanchevskii
• Collaboration: P. M. Cohn (Editeur), I Kostrikin (Editeur), A I Kostrikin (Editeur), A. I. Kostrikin (Editeur), A.I. Kostrikin (Editeur), R Shafarevich (Editeur), R Shafarevich (Editeur), I. R. Shafarevich (Editeur), I.R. Shafarevich (Editeur), P. M. Cohn (Traduction), P.M. Cohn (Traduction)
• Edition: Springer, Berlin
• Langues: Anglais
• Format d'édition: Livre de poche
• Sortie: 12.10.2010
• EAN: 9783642081675
• ISBN: 978-3-642-08167-5
• Pages: 240
• Poids: 454 g
• Illustrations: VIII, 240 p.
• Thèmes: Encyclopaedia of Mathematical Sciences; Encyclopaedia of Mathematical Sciences
• Catégorie: Sciences naturelles, médecine, informatique, technique > Mathématiques > Arithmétique, algèbre