Zero excess and minimal length in finite coxeter groups
Hart, Sarah B. and Rowley, P.J. (2010) Zero excess and minimal length in finite coxeter groups. Working Paper. UNSPECIFIED, unpublished working paper. (Unpublished)
|
Text
1261.pdf Download (194kB) | Preview |
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: | Monograph (Working Paper) |
|---|---|
| Additional Information: | Mathematics subject classification 20F55. A version of this will be submitted to a refereed journal. |
| School: | School of Business, Economics & Informatics > Economics, Mathematics and Statistics |
| Depositing User: | Sarah Hart |
| Date Deposited: | 10 Nov 2010 08:51 |
| Last Modified: | 11 Jun 2021 07:12 |
| URI: | https://eprints.bbk.ac.uk/id/eprint/1261 |
Available Versions of this Item
- Zero excess and minimal length in finite coxeter groups. (deposited 10 Nov 2010 08:51) [Currently Displayed]
Statistics
Additional statistics are available via IRStats2.
Archive Staff Only (login required)
 |
Edit/View Item |