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On Okuyama’s Theorems about Alvis-Curtis Duality

Published online by Cambridge University Press:  11 January 2016

Marc Cabanes
Marc Cabanes*
Affiliation:
Université Paris VII-Denis Diderot, 175, rue du Chevaleret F-75013 Paris, [email protected]
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Abstract

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We report on theorems by T. Okuyama about complexes generalizing the Coxeter complex and the action of parabolic subgroups on them, both for finite BN-pairs and finite dimensional Hecke algebras. Several simplifications, using mainly the surjections of [CaRi], allow a more compact treatment than the one in [O].

Keywords

20C0820C2020C3320J05
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 195 , 2009 , pp. 1 - 19
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2009

References

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