Labeling irreducible modules for Hecke algebras of type A

The irreducible modules in the blocks of a tower of Hecke algebras of rank e are labeled by certain multipartitions called e-regular. The best-known case is for blocks of the symmetric groups over a field of characteristic p, where the rank e is p, and the multipartitions are just partitions. In general, the e-regular multipartions are generated recursively.

    We consider a crystal in which the vertices are blocks, generated by Chevalley generators f_i. If we restrict to a face generated by f_1 and f_2 for e>2, we can give a non-recursive criterion for a multipartition to be e-regular.

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https://us02web.zoom.us/j/87856132062

Meeting ID: 878 5613 2062