Belolipetsky, M. (2004) 'Cells and representations of right-angled Coxeter groups.', Selecta mathematica., 10 (3). pp. 325-339.
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.
|Keywords:||Coxeter group, Hecke algebra, Kazhdan–Lusztig polynomials.|
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|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|
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