Iwahori-Hecke algebras and their representation theory : lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, June 28-July 6, 1999
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Bibliographic Information
Iwahori-Hecke algebras and their representation theory : lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, June 28-July 6, 1999
(Lecture notes in mathematics, 1804 . Fondazione C.I.M.E.,
Springer, c2002
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Iwahori-Hecke algebras and their representation theory : Martina Franca, Italy 1999
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Note
Includes bibliographical references
Description and Table of Contents
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.
Table of Contents
Preface.- I. Cherednik and Ya. Markov: Hankel transform via double Hecke algebra.- R. Howe: Affine-like Hecke algebras and p-adic representation theory.- G. Lusztig: Notes on affine Hecke algebras.
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