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Semi-continuité des cellules de Kazhdan-Lusztig

2008/05/20 by Cédric Bonnafé, Bonnafé, Cédric · 2 citations
Mathematics · #20C08 (Primary) #20C15 (Secondary) #FOS: Mathematics #Group Theory (math.GR) #Representation Theory (math.RT) #math.GR #math.RT #msc:20C08 #msc:20C15

paper · pdf · doi:10.48550/arxiv.0805.3038

36 pages

arxiv created 2008/05/20 · arxiv updated 2009/12/01

Abstract

Computations in small Coxeter groups and infinite dihedral groups suggest that Kazhdan-Lusztig cells for unequal parameters obey to some "semicontinuity" phenomenon (as the parameter vary). The aim of this paper is to provide a rigorous theoretical background that allows to state some precise conjectures.

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