M. Belolipetsky
Cells and representations of right-angled Coxeter groups
Belolipetsky, M.
Authors
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.
Citation
Belolipetsky, M. (2004). Cells and representations of right-angled Coxeter groups. Selecta Mathematica (New Series), 10(3), 325-339. https://doi.org/10.1007/s00029-004-0355-9
Journal Article Type | Article |
---|---|
Publication Date | 2004-09 |
Deposit Date | Apr 25, 2007 |
Journal | Selecta Mathematica (New Series) |
Print ISSN | 1022-1824 |
Electronic ISSN | 1420-9020 |
Publisher | Springer |
Peer Reviewed | Peer Reviewed |
Volume | 10 |
Issue | 3 |
Pages | 325-339 |
DOI | https://doi.org/10.1007/s00029-004-0355-9 |
Keywords | Coxeter group, Hecke algebra, Kazhdan–Lusztig polynomials. |
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