Iwahori-Hecke Algebras and Their Representation Theory

Released on by Ivan Cherednik
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  • Iwahori-Hecke Algebras and Their Representation Theory Book Detail

  • Author : Ivan Cherednik
  • Release Date : 2002-12-19
  • Publisher : Springer Science & Business Media
  • Genre : Mathematics
  • Pages : 132
  • ISBN 13 : 9783540002246
  • File Size : 68,68 MB
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Iwahori-Hecke Algebras and Their Representation Theory by Ivan Cherednik PDF Summary

Book Description: Two basic problems of representation theory are to classify irreducible representations and decompose representations occuring naturally in some other context. Algebras of Iwahori-Hecke type are one of the tools and were, probably, first considered in the context of representation theory of finite groups of Lie type. This volume consists of notes of the courses on Iwahori-Hecke algebras and their representation theory, given during the CIME summer school which took place in 1999 in Martina Franca, Italy.

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Representations of Affine Hecke Algebras

Representations of Affine Hecke Algebras

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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 s