Howe Duality for the Metaplectic Group Acting on Symplectic Spinor Valued Forms

Abstrakt

Howe duality for metaplectic group acting on symplectic spinor valued forms is established via finding the appropriate commutant. The commutant is presented as an image of a representation of a super Lie algebra osp(1|2).

Klíčová slova

• Segal-Shale-Weil representation
• Schur-Weyl-Howe duality
• symplectic spinors