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

2009/01/13 by Guilhot, Jeremie
#FOS: Mathematics #Group Theory (math.GR) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.0901.1711

Abstract

In this paper we determine the partition into Kazhdan-Lusztig cells of the affine Weyl groups of type \tB₂ and \tG₂ for any choice of parameters. Using these partitions we show that the semicontinuity conjecture of Bonnafé holds for these groups.

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