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

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

2009-01-13

arxiv.org/abs/0901.1711v3

Mathematics

Group Theory

21 pages, 4 tables, 13 figures. Section 3 has been completely rewritten. The new version also contains some minor corrections

Scientific paper

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.

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