Algebra IX
Broschiertes Buch

Algebra IX

Finite Groups of Lie Type Finite-Dimensional Division Algebras

Mitarbeit: Carter, R.W.; Platonov, V.P.; Yanchevskii, V.I.; Übersetzung: Cohn, P.M.; Herausgegeben von Kostrikin, A.I.; Shafarevich, I.R.
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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.