Cells and representations of right-angled Coxeter groups

• Mikhail Belolipetsky ^[1]
  1. [1] Max Planck Institute of Mathematics, Alemania
• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 10, Nº. 3, 2004, págs. 325-339
• Idioma: inglés
• DOI: 10.1007/s00029-004-0355-9
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• Resumen

  • 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.