Presentation Name: Isomorphisms between simple modules of degenerate cyclotomic Hecke algebras
Presenter: Linliang Song
Date: 2017-05-04
Location: 光华东主楼1704
Abstract:

In this talk, we classify maximal vectors of certain tensor modules in super parabolic category O for general linear Lie superalgebras. Via this result and Brundan-Losev-Webster's results on tensor product categorification together with Brundan-Kleshchev's results on Schur- Weyl duality for higher levels, we give explicit isomorphisms between simple modules of degenerate cyclotomic Hecke algebras defined via various cellular bases. A special case of our result gives a generalized Mullineux involution in degenerate case. This is a joint work with Hebing Rui.

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