Hart, Sarah and Rowley, P.J. (2012) Zero excess and minimal length in finite coxeter groups. Journal of Group Theory 15 (4), pp. 497-512. ISSN 1435-4446.
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Abstract
Let \mathcal{W} be the set of strongly real elements of W, a Coxeter group. Then for $w \in \mathcal{W}$, $e(w)$, the excess of w, is defined by $e(w) = \min min \{l(x)+l(y) - l(w)| w = xy; x^2 = y^2 =1}$. When $W$ is finite we may also define E(w), the reflection excess of $w$. The main result established here is that if $W$ is finite and $X$ is a $W$-conjugacy class, then there exists $w \in X$ such that $w$ has minimal length in $X$ and $e(w) = 0 = E(w)$.
Metadata
| Item Type: | Article |
|---|---|
| School: | Birkbeck Faculties and Schools > Faculty of Science > School of Computing and Mathematical Sciences |
| Depositing User: | Sarah Hart |
| Date Deposited: | 20 Dec 2012 11:39 |
| Last Modified: | 09 Aug 2023 12:32 |
| URI: | https://eprints.bbk.ac.uk/id/eprint/5641 |
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Zero excess and minimal length in finite coxeter groups. (deposited 10 Nov 2010 08:51)
- Zero excess and minimal length in finite coxeter groups. (deposited 20 Dec 2012 11:39) [Currently Displayed]
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