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].
Citation
Marc Cabanes. "On Okuyama's theorems about Alvis-Curtis duality." Nagoya Math. J. 195 1 - 19, 2009.
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