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Article Dans Une Revue Annales de l'Institut Fourier Année : 2009

Generalized induction of Kazhdan-Lusztig cells

Jeremie Guilhot

Résumé

Following Lusztig, we consider a Coxeter group W together with a weight function. Geck showed that the Kazhdan-Lusztig cells of W are compatible with parabolic subgroups. In this paper, we generalize this argument to some subsets of W which may not be parabolic subgroups. We obtain two applications: we show that under specific technical conditions on the parameters, the cells of a certain finite parabolic subgroup of W are cells in the whole group, and we decompose the affine Weyl group G~2 into left and two-sided cells for a whole class of weight functions.

Dates et versions

hal-01109361 , version 1 (26-01-2015)

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Jeremie Guilhot. Generalized induction of Kazhdan-Lusztig cells. Annales de l'Institut Fourier, 2009, 59 (4), pp.1385-1412. ⟨hal-01109361⟩
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