Symplectic spinor valued forms and invariant operators acting between them

Svatopluk Krysl

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

E-mail.
krysl@karlin.mff.cuni.cz

Abstract.
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.