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

 

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

Publisher: Springer | ISBN: 3540570381 | edition 2001 | PDF | 239 pages | 18 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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