Iwahori-Hecke Algebras and their Representation Theory Lectures given at the CIME Summer School held in Martina Franca, Italy, June 28 - July 6, 1999 /

• Main Authors: Cherednik, Ivan (Author, http://id.loc.gov/vocabulary/relators/aut), Markov, Yavor (http://id.loc.gov/vocabulary/relators/aut), Howe, Roger E. (http://id.loc.gov/vocabulary/relators/aut), Lusztig, George (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Other Authors: Barbasch, Dan (Editor, http://id.loc.gov/vocabulary/relators/edt), Baldoni, M. Welleda (Editor, http://id.loc.gov/vocabulary/relators/edt)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2002.
• Edition: 1st ed. 2002.
• Series: C.I.M.E. Foundation Subseries ; 1804
• Subjects: Group theory.; K-theory.; Operator theory.; Group Theory and Generalizations.; K-Theory.; Operator Theory.

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 g...

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.