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Cells and representations of right-angled Coxeter groups

Belolipetsky, M.

Authors

M. Belolipetsky



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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