On the representation theory of Iwahori-Hecke algebras of extended finite Weyl groups-Reference-Cited by-同舟云学术

On the representation theory of Iwahori-Hecke algebras of extended finite Weyl groups

Published:2000-09-11 Issue:15 Volume:4 Page:370-397
ISSN:1088-4165
Container-title:Representation Theory of the American Mathematical Society
language:en
Short-container-title:Represent. Theory

Author:

Geck Meinolf

Abstract

We apply Lusztig’s theory of cells and asymptotic algebras to the Iwahori–Hecke algebra of a finite Weyl group extended by a group of graph automorphisms. This yields general results about splitting fields (extending earlier results by Digne–Michel) and decomposition matrices (generalizing earlier results by the author). Our main application is to establish an explicit formula for the number of simple modules in type D n D_n (except in characteristic 2 2 ), using the known results about type B n B_n due to Dipper, James, and Murphy and Ariki and Mathas.

Publisher

American Mathematical Society (AMS)

Subject

Mathematics (miscellaneous)

Link

http://www.ams.org/ert/2000-04-15/S1088-4165-00-00093-5/S1088-4165-00-00093-5.pdf

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