Iwahori-Hecke Algebras and their Representation Theory [electronic resource] : Lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, June 28 - July 6, 1999 / by Ivan Cherednik, Yavor Markov, Roger Howe, George Lusztig
Imprint
Berlin, Heidelberg : Springer Berlin Heidelberg, 2002
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
CONTENT
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
