X-posets of certain Coxeter groups
Hart, Sarah and Rowley, P.J. (2013) X-posets of certain Coxeter groups. Taiwanese Journal of Mathematics 17 (6), pp. 1901-1919. ISSN 1027-5487.
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Official URL: http://journal.taiwanmathsoc.org.tw/index.php/TJM/...
Abstract
Let X be a subgroup of a Coxeter group W. In the paper "On Cosets in Coxeter Groups" Turk. J. Math. 36(2012),77 -- 93, the authors developed the notion of X-posets, which are defined on certain equivalence classes of the (right) cosets of X in W. These posets can be thought of as a generalization of the well-known Bruhat order of W. This article provides a catalogue of all the X-posets for various small Coxeter groups.
Metadata
| Item Type: | Article |
|---|---|
| Keyword(s) / Subject(s): | Coxeter group, Cosets, Bruhat order, Partially ordered set. |
| School: | Birkbeck Faculties and Schools > Faculty of Science > School of Computing and Mathematical Sciences |
| Depositing User: | Sarah Hart |
| Date Deposited: | 12 Jan 2015 08:27 |
| Last Modified: | 09 Aug 2023 12:36 |
| URI: | https://eprints.bbk.ac.uk/id/eprint/11414 |
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