Fully commutative Kazhdan-Lusztig cells
نویسندگان
چکیده
منابع مشابه
Leading coefficients of Kazhdan–Lusztig polynomials and fully commutative elements
Let W be a Coxeter group of type ̃ An−1. We show that the leading coefficient, μ(x,w), of the Kazhdan–Lusztig polynomial Px,w is always equal to 0 or 1 if x is fully commutative (and w is arbitrary).
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We investigate the compatibility of the set of fully commutative elements of a Coxeter group with the various types of Kazhdan–Lusztig cells using a canonical basis for a generalized version of the Temperley–Lieb algebra. Cellules pleinement commutatives de Kazhdan–Lusztig Nousétudions la compatibilité entre l'ensemble deséléments pleinement commu-tatifs d'un groupe de Coxeter et les divers typ...
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متن کاملRelative 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: Annales de l’institut Fourier
سال: 2001
ISSN: 0373-0956
DOI: 10.5802/aif.1843