Iwahori-Hecke Algebras and their Representation Theory

Lectures given at the CIME Summer School held in Martina Franca, Italy, June 28 - July 6, 1999
2002
ISBN: 978-3-540-00224-6
Verlag: Springer Berlin Heidelberg

Buch, Englisch, Band 1804, 114 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 207 g

Reihe: Lecture Notes in Mathematics

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.

Zielgruppe

Research

Autoren/Hrsg.

Cherednik, Ivan

Markov, Yavor

Howe, Roger E.

Lusztig, George

Barbasch, Dan

Baldoni, M. Welleda

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis
• Mathematik | Informatik Mathematik Algebra Algebraische Strukturen, Gruppentheorie
• Mathematik | Informatik Mathematik Algebra Homologische Algebra

Inhaltsverzeichnis

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.