The Based Rings of Two-sided cells in an Affine Weyl group of type B₃, IV

2025/05/05 by Qiu, Yannan
#FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2505.02459

Abstract

We compute the based ring of two-sided cell corresponding to the unipotent class in Sp₆(\mathbb C) with Jordan blocks (21111). The results also verify Lusztig's conjecture on the structure of the based rings of the two-sided cells of an affine Weyl group.

Citations

• A geometric realization of the asymptotic affine Hecke algebra
• On the structure of the affine asymptotic Hecke algebras
• On tensor categories attached to cells in affine Weyl groups, III

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• The Based Rings of Two-sided cells in an Affine Weyl group of type B₃, III
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• The based ring the lowest generalized two-sided cell of an extended affine Weyl group