Singular BGG complexes for the symplectic case

Abstract

Using the Penrose transform, we construct analogues of the BGG (Bernstein-Gelfand-Gelfand) resolutions in certain singular infinitesimal characters, in the holomorphic geometric setting, over the Lagrangian Grassmannian. We prove the exactness of the constructed complex over the big affine cell.

Corrected typos. Comments are welcome

Cited by in corpus (1)

• BGG complexes in singular blocks of category O