On negative orbits of finite coxeter groups

Perkins, Sarah and Rowley, P.J. (2004) On negative orbits of finite coxeter groups. Journal of Algebraic Combinatorics 20 (1), pp. 17-31. ISSN 0925-9899.

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Official URL: https://doi.org/10.1023/B:JACO.0000047290.27248.c8

Abstract

For a Coxeter group W, X a subset of W and α a positive root, we define the negative orbit of α under X to be {w · α | w ∈ X}∩ Φ−, where Φ− is the set of negative roots. Here we investigate the sizes of such sets as α varies in the case when W is a finite Coxeter group and X is a conjugacy class of W.

Metadata

Item Type:	Article
Additional Information:	Perkins is the maiden name of Sarah Hart.
School:	Birkbeck Faculties and Schools > Faculty of Business and Law > Birkbeck Business School
Depositing User:	Sarah Hall
Date Deposited:	30 Jun 2020 08:23
Last Modified:	02 Aug 2023 18:00
URI:	https://eprints.bbk.ac.uk/id/eprint/32401

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