Semicontinuity properties of Kazhdan-Lusztig cells
classification
🧮 math.GR
math.RT
keywords
cellsgroupskazhdan-lusztigparameterssemicontinuityallowbackgroundcomputations
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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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