Speaker
Allan Merino
(Simmons University)
Description
As suggested in "Remarks on classical invariant theory”, the Howe duality in the symplectic group should be extendable to the orthosymplectic supergroup, with the Weil representation replaced by the spinor-oscillator representation of the supergroup SpO. In my talk, I will explain what is known about the duality in the supercase, present some of the results obtained recently with H. Salmasian, and give an explicit description of the duality for the dual pair $({\mathrm{SpO}}(2n|1), {\mathrm{osp}}(2|2))$.