Iwahori-Hecke Algebras and their Representation Theory

Iwahori-Hecke Algebras and their Representation Theory
Author: Ivan Cherednik
Publisher: Springer
Total Pages: 117
Release: 2003-01-01
Genre: Mathematics
ISBN: 3540362053

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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.


Iwahori-Hecke Algebras and their Representation Theory
Language: en
Pages: 117
Authors: Ivan Cherednik
Categories: Mathematics
Type: BOOK - Published: 2003-01-01 - Publisher: Springer

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Two basic problems of representation theory are to classify irreducible representations and decompose representations occuring naturally in some other context.
Representations of Hecke Algebras at Roots of Unity
Language: en
Pages: 410
Authors: Meinolf Geck
Categories: Mathematics
Type: BOOK - Published: 2011-05-18 - Publisher: Springer Science & Business Media

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The modular representation theory of Iwahori-Hecke algebras and this theory's connection to groups of Lie type is an area of rapidly expanding interest; it is o
Iwahori-Hecke Algebras and Schur Algebras of the Symmetric Group
Language: en
Pages: 204
Authors: Andrew Mathas
Categories: Mathematics
Type: BOOK - Published: 1999 - Publisher: American Mathematical Soc.

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This volume presents a fully self-contained introduction to the modular representation theory of the Iwahori-Hecke algebras of the symmetric groups and of the $
Iwahori-Hecke Algebras and Their Representation Theory
Language: en
Pages: 0
Authors:
Categories: Hecke algebras
Type: BOOK - Published: 2002 - Publisher:

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Hecke Algebras with Unequal Parameters
Language: en
Pages: 145
Authors: George Lusztig
Categories: Mathematics
Type: BOOK - Published: 2003 - Publisher: American Mathematical Soc.

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Hecke algebras arise in representation theory as endomorphism algebras of induced representations. One of the most important classes of Hecke algebras is relate