6 janvier 2025 à 4 avril 2025
IHP
Fuseau horaire Europe/Paris

Howe duality for Lie superalgebras

14 mars 2025, 09:30
1h
Amphitheater Darboux (IHP)

Amphitheater Darboux

IHP

11, Rue Pierre et Marie Curie 75005 Paris

Orateur

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 (SpO(2n|1),osp(2|2)).

Documents de présentation

Aucun document.