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.
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Belolipetsky, M. Cells and representations of right-angled Coxeter groups. Sel. math., New ser. 10, 325 (2004). https://doi.org/10.1007/s00029-004-0355-9
DOI: https://doi.org/10.1007/s00029-004-0355-9