Centers and Simple Modules for Iwahori-Hecke Algebras
Identifieur interne : 000503 ( France/Analysis ); précédent : 000502; suivant : 000504Centers and Simple Modules for Iwahori-Hecke Algebras
Auteurs : Meinolf Geck [Allemagne] ; Raphaël Rouquier [France]Source :
- Progress in Mathematics ; 1997.
Abstract
Abstract: The work of Dipper and James on Iwahori-Hecke algebras associated with the finite Weyl groups of type A n has shown that these algebras behave in many ways like group algebras of finite groups. Moreover, there are “generic” features in the modular representation theory of these algebras which, at present, can only be verified in examples by explicit computations. This paper arose from an attempt to provide a conceptual explanation of these phenomena, in the general framework of the representation theory of (symmetric) algebras. We will study relations between the center of such algebras and properties of decomposition maps, and we will use this to obtain a general result about the “genericity” of the number of simple modules of Iwahori-Hecke algebras.
Url:
DOI: 10.1007/978-1-4612-4124-9_9
Affiliations:
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