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The Group of Autoprojectivities of the Finite Coxeter Groups

✍ Scribed by Mauro Costantini

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
182 KB
Volume
248
Category
Article
ISSN
0021-8693

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Let W, S be any finite Coxeter system and F the Bruhat᎐Chevalley Ž . Ž . order on W. We denote by Base W and BiGr W the base and the set of all bi-grassmannians, respectively. For s, t g S we let s W t be the subset of Ž . Ž . Ä 4 Ž . Ä 4 BiGr W consisting of all w g W such that L L w s s and R R w

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Let W be a finite Coxeter group and let F be an automorphism of W that leaves the set of generators of W invariant. We establish certain properties of elements of minimal length in the F-conjugacy classes of W that allow us to define character tables for the corresponding twisted Iwahori᎐Hecke algeb