Algebra IX: Finite Groups of Lie Type. Finite-Dimensional Division Algebras (Encyclopaedia of Mathematical Sciences) - R. W. Carter, V. P. Platonov, V. I. Yanchevskii, A. I. Kostrikin (ed), I. R. Shafarevich (ed) (2001) |
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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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