Algebra IX : Finite Groups of Lie Type Finite-Dimensional Division Algebras, PDF eBook

Algebra IX : Finite Groups of Lie Type Finite-Dimensional Division Algebras PDF

Edited by A.I. Kostrikin, I.R. Shafarevich

Part of the Encyclopaedia of Mathematical Sciences series

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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.

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