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arXiv · 2201.12808

On symmetries of the Duflo-Serganova functor

Alexander Sherman
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Abstract

We discuss several points regarding symmetries of the Duflo-Serganova functor. In particular we give new constructions of Lie superalgebras, Lie supergroups, and associative superalgebras which act on the Duflo-Serganova functor. We connect our work to a computation of Heidersdorf and Weissauer which computed $DS_x$ for a maximal rank $x$ on Kac-modules for $GL(n|n)$, and extend the ideas and results to $P(n)$.

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Alexander Sherman. 2022-01-30. On symmetries of the Duflo-Serganova functor. https://arxiv.org/abs/2201.12808

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