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Encyclopaedia of Mathematical Sciences : Finite Groups of Lie Type Finite-Dimensional Division Algebras - R.W. Carter

Encyclopaedia of Mathematical Sciences

Finite Groups of Lie Type Finite-Dimensional Division Algebras

By: R.W. Carter (Contribution by), P.M. Cohn (Translator), A.I. Kostrikin (Editor)

Hardcover | 1 December 1995

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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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