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Semisimplicity of Parabolic Hecke Algebras

✍ Scribed by Yasushi Gomi

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
212 KB
Volume
203
Category
Article
ISSN
0021-8693

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✦ Synopsis

The semisimplicity of Iwahori᎐Hecke algebras has been studied by several Ž . authors. A. Gyoja J. Algebra 174, 1995, 553᎐572 gave a necessary and sufficient condition for Iwahori᎐Hecke algebras to be semisimple, using the modular repre-Ž . sentation theory. The author J. Algebra 183, 1996, 514᎐544 studied the semisimplicity of parabolic Hecke algebras when they have only one parameter q. In this paper we completely determine the cases when parabolic Hecke algebras are semisimple complementing our previous work applying the method of Gyoja.

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