Singular BGG complexes for the symplectic case

Author: Rafael Mrđen

Mathematical Communications 25(2020), 13–34.

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.