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On Okuyama's theorems about Alvis-Curtis duality
Marc Cabanes
Source: Nagoya Math. J. Volume 195
(2009), 1-19.
Abstract
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].
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Permanent link to this document: http://projecteuclid.org/euclid.nmj/1252934368
Zentralblatt MATH identifier: 05611426
Mathematical Reviews number (MathSciNet): MR2552950
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