Symplectic spinor valued forms and invariant operators acting between them

Svatopluk Krysl

Charles University, Sokolovska 83, 186 75 Prague 8, Czech Republic


Exterior differential forms with values in the (Kostant's) symplectic spinor bundle on a manifold with a given metaplectic structure are decomposed into invariant subspaces. Projections to these invariant subspaces of a covariant derivative associated to a torsion-free symplectic connection are described.