Year: 2025
Type: article
Abstract: We initiate a study of the symmetries of the Duflo–Serganova functor, DS. In particular we give new constructions of Lie superalgebras, Lie supergroups, and associative superalgebras which act on this functor. The main result is a realization that in the Kac–Moody setting, we find new odd infinitesimal symmetries of DS. In addition, 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).
Source: Israel Journal of Mathematics
Author: Alexander Sherman
Institution: Ben-Gurion University of the Negev
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,290
OpenAlex ID: W4409155881