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On reflection length in reflection groups

Howlett, R B; Lehrer, Gus I.

Description

Let W be the Weyl group of a connected reductive group over a finite field. It is a consequence of the Borel-Tits rational conjugacy theorem for maximal split tori that for certain reflection subgroups W1 of W (including all parabolic subgroups), the elements of minimal reflection length in any coset wW1 are all conjugate, provided w normalises W1. We prove a sharper and more general result of this nature for any finite Coxeter group. Applications include a fusion result for cosets of...[Show more]

CollectionsANU Research Publications
Date published: 1999
Type: Journal article
URI: http://hdl.handle.net/1885/94921
Source: Archiv der Mathematik

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