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arXiv:2009.11715 [math.RT]AbstractReferencesReviewsResources

Cellularity of the p-Canonical Basis for Symmetric Groups

Lars Thorge Jensen

Published 2020-09-24Version 1

For symmetric groups we show that the p-canonical basis can be extended to a cell datum for the Iwahori-Hecke algebra H and that the two-sided p-cell preorder coincides with the Kazhdan-Lusztig two-sided cell preorder. Moreover, we show that left (or right) p-cells inside the same two-sided p-cell for Hecke algebras of finite crystallographic Coxeter systems are incomparable (Property A).

Comments: 25 pages
Categories: math.RT, math.CO, math.GR
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