Cells and representations of right-angled Coxeter groups
表示论
2010-03-26 v3
摘要
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.
引用
@article{arxiv.math/0206035,
title = {Cells and representations of right-angled Coxeter groups},
author = {M. Belolipetsky},
journal= {arXiv preprint arXiv:math/0206035},
year = {2010}
}
备注
15 pages, 3 figures