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

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.

List 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.

Summary

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.

Product details

• Authors: Iva Cherednik, Ivan Cherednik, Roger Howe, Roger E et al Howe, Roger E. Howe, George Lusztig, Yavo Markov, Yavor Markov
• Assisted by: M. Welleda Baldoni (Editor), M. Welleda (Hrsg.) Baldoni (Editor), Da Barbasch (Editor), Dan Barbasch (Editor), Dan (Hrsg.) Barbasch (Editor), Welleda Baldoni (Editor), Welleda Baldoni (Editor)
• Publisher: Springer, Berlin
• Languages: English
• Product format: Paperback / Softback
• Released: 01.01.2002
• EAN: 9783540002246
• ISBN: 978-3-540-00224-6
• No. of pages: 111
• Weight: 191 g
• Series: Lecture Notes in Mathematics; C.I.M.E. Foundation Subseries; Lecture Notes in Mathematics; C.I.M.E. Foundation Subseries
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Arithmetic, algebra; C, Funktionalanalysis und Abwandlungen, Algebraische Topologie, Group Theory, Mathematics and Statistics, Group Theory and Generalizations, Functional analysis & transforms, Operator Theory, Algebraic Topology, K-Theory