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Foundations of Frobenius Heisenberg categories

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arxiv 2007.01642 v3 pith:VVLJ5AX5 submitted 2020-07-03 math.RT math.CT

Jonathan Brundan , Alistair Savage , Ben Webster This is my paper · ORCID
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keywords frobeniusheisenbergalgebraassociatedcategoriescategorybasesbasis
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We describe bases for the morphism spaces of the Frobenius Heisenberg categories associated to a symmetric graded Frobenius algebra, proving several open conjectures. Our proof uses a categorical comultiplication and generalized cyclotomic quotients of the category. We use our basis theorem to prove that the Grothendieck ring of the Karoubi envelope of the Frobenius Heisenberg category recovers the lattice Heisenberg algebra associated to the Frobenius algebra.

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  1. Higher-level degenerate spin affine Hecke superalgebras

    math.RT 2026-07 accept novelty 5.5 of 10

    Higher-level degenerate spin affine Hecke superalgebras are isomorphic (after Clifford tensor) to higher-level degenerate affine Hecke–Clifford superalgebras, hence Morita superequivalent.

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