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

2008/10/28 by Guilhot, Jeremie
#FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.0810.5165

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.

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