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arxiv: 0805.3038 · v1 · submitted 2008-05-20 · 🧮 math.RT · math.GR

Semi-continuit\'e des cellules de Kazhdan-Lusztig

classification 🧮 math.RT math.GR
keywords groupskazhdan-lusztigsomeallowsbackgroundcellscellulescomputations
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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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