Cells and representations of right-angled Coxeter groups

M. Belolipetsky

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arXiv · math/0206035

Cells and representations of right-angled Coxeter groups

M. Belolipetsky

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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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M. Belolipetsky. 2004-11-21. Cells and representations of right-angled Coxeter groups. https://arxiv.org/abs/math/0206035

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