Mikhail V. Belolipetsky

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Let C be a one-or two-sided Kazhdan–Lusztig cell in a Coxeter group (W, S), and let Reduced(C) be the set of reduced expressions of all w ∈ C, regarded as a language over the alphabet S. Casselman has conjectured that Reduced(C) is regular. In this paper we give a conjectural description of the cells when W is the group corresponding to a hyperbolic(More)