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A.I. Kostrikin, I.R. Shafarevich - Algebra IX, Häftad

Häftad, Engelska, 2010

Algebra IX

Finite Groups of Lie Type Finite-Dimensional Division Algebras

Av A.I. Kostrikin, I.R. Shafarevich

Del 77 i serien Encyclopaedia of Mathematical Sciences

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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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