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Minimal Length Elements in Twisted Conjugacy Classes of Finite Coxeter Groups

✍ Scribed by Meinolf Geck; Sungsoon Kim; Götz Pfeiffer

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
223 KB
Volume
229
Category
Article
ISSN
0021-8693

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✦ Synopsis

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 algebras. These results are extensions of results obtained by Geck and Pfeiffer in the case where F is trivial.

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