Algebra IX: Finite Groups of Lie Type. Finite-Dimensional Division Algebras
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R.W. Carter, V.P. Platonov, V.I. Yanchevskii, A.I. Kostrikin , "Algebra IX: Finite Groups of Lie Type. Finite-Dimensional Division Algebras"
Springer; 1 edition | ISBN: 3540570381 | 239 pages | PDF | 11 Mb
Springer; 1 edition | ISBN: 3540570381 | 239 pages | PDF | 11 Mb
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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