Semicontinuity properties of Kazhdan-Lusztig cells

Details Semicontinuity properties of Kazhdan-Lusztig cells Semicontinuity properties of Kazhdan-Lusztig cells

2008-08-26

arxiv.org/abs/0808.3522v2

Mathematics

Group Theory

29 pages. The paper arXiv:0805.3038 has been divided in two parts. This paper is an enriched (and translated) version of secti

Scientific paper

Computations in small Coxeter groups or dihedral groups suggest that the
partition into Kazhdan-Lusztig cells with unequal parameters should obey to
some semicontinuity phenomenon (as the parameters vary). The aim of this paper
is to provide a rigorous theoretical background for supporting this intuition
that will allow to state several precise conjectures.

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