Kazhdan-Lusztig cells in the affine Weyl groups of rank 2

Jeremie Guilhot (1)

1 Algebre

In this paper we determine the partition into Kazhdan-Lusztig cells of the affine Weyl groups of type $\tB_{2}$ and $\tG_{2}$ for any choice of parameters. Using these partitions we show that the semicontinuity conjecture of Bonnaf\'e holds for these groups.

Domaines: Mathématiques [math]

Jeremie Guilhot. Kazhdan-Lusztig cells in the affine Weyl groups of rank 2. International Mathematics Research Notices, 2010, 17, pp.3422-3462. ⟨hal-01109359⟩