Name: representations of affine hecke algebras
Price: 529.00 ZAR
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Author: xi
ISBN: 9783540583899

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portada representations of affine hecke algebras

representations of affine hecke algebras

Type

Physical Book

Publisher

Springer

Author

Language

English

Pages

137

ISBN

3540583890

ISBN13

9783540583899

Synopsis "representations of affine hecke algebras"

kazhdan and lusztig classified the simple modules of an affine hecke algebra hq (q e c*) provided that q is not a root of 1 (invent. math. 1987). ginzburg had some very interesting work on affine hecke algebras. combining these results simple hq-modules can be classified provided that the order of q is not too small. these lecture notes of n. xi show that the classification of simple hq-modules is essentially different from general cases when q is a root of 1 of certain orders. in addition the based rings of affine weyl groups are shown to be of interest in understanding irreducible representations of affine hecke algebras. basic knowledge of abstract algebra is enough to read one third of the book. some knowledge of k-theory, algebraic group, and kazhdan-lusztig cell of cexeter group is useful for the rest