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Conjectures P1-P15 for hyperbolic Coxeter groups of rank 3 (1906.09451v2)
Published 22 Jun 2019 in math.RT
Abstract: We prove Lusztig's conjectures P1-P15 for hyperbolic Coxeter groups of rank 3. Our proof enables us to give a description of the a-function and Kazhdan-Lusztig cells for these Coxeter groups.
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