On symmetries of the Duflo-Serganova functor
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 DSx for a maximal rank x on Kac-modules for GL(n|n), and extend the ideas and results to P(n).
0