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

Roger Howe, M. Welleda Baldoni, Dan Barbasch, Yavor Markov, George Lusztig

ISBN 10: 3540002243 / ISBN 13: 9783540002246

Editore: Springer 2008-06-13, 2008

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Codice articolo 6666-IUK-9783540002246

Dati bibliografici

• Titolo: Iwahori-Hecke Algebras and their Representation Theory: Lectures given at the CIME Summer School held in Martina Franca, Italy, June 28 - July 6, 1999 (Lecture Notes in Mathematics)
• Editore: Springer 2008-06-13
• Data di pubblicazione: 2008
• Lingua: Inglese
• ISBN 10: 3540002243
• ISBN 13: 9783540002246
• Rilegatura: Paperback
• Condizione: New

Descrizione articolo

Riassunto

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.

Contenuti

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.