Iwahori-Hecke Algebras and Their Representation Theory: Lectures Given at the Cime Summer School Held in Martina Franca, Italy, June 28 - July 6, 1999

ISBN-13: 9783540002246 / Angielski / Miękka / 2002 / 114 str.

Ivan Cherednik; Yavor Markov; Roger Howe

Opis

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.

Spis treści

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.