Relative Kazhdan–Lusztig cells

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Relative Kazhdan–lusztig Cells

In this paper, we study the Kazhdan–Lusztig cells of a Coxeter group W in a “relative” setting, with respect to a parabolic subgroup WI ⊆ W . This relies on a factorization of the Kazhdan–Lusztig basis {Cw} of the corresponding (multi-parameter) Iwahori–Hecke algebra with respect to WI . We obtain two applications to the “asymptotic case” in type Bn, as introduced by Bonnafé and Iancu: we show ...

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ژورنال

عنوان ژورنال: Representation Theory of the American Mathematical Society

سال: 2006

ISSN: 1088-4165

DOI: 10.1090/s1088-4165-06-00287-1