Some computations about Kazhdan-Lusztig cells in affine Weyl groups of rank 2

Abstract

In the last section of the paper "Generalized induction of Kazhdan-Lusztig cells" and in "Kazhdan-Lusztig cells in affine Weyl groups of rank 2" the author described the partition into Kazhdan-Lusztig cells of the affine Weyl groups of rank 2 for all choices of parameters. The proof of these results relies on some explicit computations with GAP. In these notes we give some details of these computations.

90 pages. The new version contains some new data about the paper "Kazhdan-Lusztig cells in affine Weyl groups of rank 2". The content of the old version (old title: Computations in "Generalized induction of Kazhdan-Lusztig cells") is now in Section 2