Semi-continuité des cellules de Kazhdan-Lusztig

Mathematics – Representation Theory

Scientific paper

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36 pages

Scientific paper

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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