5922258
9783540583899
Kazhdan and Lusztig classified the simple modules of an affine Hecke algebra H"q" ("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 H"q"-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 H"q"-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 restXi, Nanhua is the author of 'Representations of Affine Hecke Algebras', published 1994 under ISBN 9783540583899 and ISBN 3540583890.
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