Kazhdan-Lusztig cells in the affine Weyl groups of rank 2
classification
🧮 math.GR
math.RT
keywords
groupsaffinecellskazhdan-lusztigweylbonnafchoiceconjecture
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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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