Cookies

We use cookies to ensure that we give you the best experience on our website. By continuing to browse this repository, you give consent for essential cookies to be used. You can read more about our Privacy and Cookie Policy.


Durham Research Online
You are in:

Cells and representations of right-angled Coxeter groups.

Belolipetsky, M. (2004) 'Cells and representations of right-angled Coxeter groups.', Selecta mathematica., 10 (3). pp. 325-339.

Abstract

We study Kazhdan–Lusztig cells and the corresponding representations of right-angled Coxeter groups and Hecke algebras associated to them. In case of the infinite groups generated by reflections in the hyperbolic plane about the sides of right-angled polygons we obtain an explicit description of the left and two-sided cells. In particular, we prove that there are infinitely many left cells but they all form only three two-sided cells.

Item Type:Article
Keywords:Coxeter group, Hecke algebra, Kazhdan–Lusztig polynomials.
Full text:Full text not available from this repository.
Publisher Web site:http://dx.doi.org/10.1007/s00029-004-0355-9
Record Created:25 Apr 2007
Last Modified:07 Oct 2010 16:41

Social bookmarking: del.icio.usConnoteaBibSonomyCiteULikeFacebookTwitterExport: EndNote, Zotero | BibTex
Usage statisticsLook up in GoogleScholar | Find in a UK Library