Singular BGG complexes for the symplectic case

Rafael Mrđen


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.


Bernstein-Gelfand-Gelfand (BGG) complexes; Singular infinitesimal character; Invariant differential operators; Lagrangian Grassmannian; Penrose transform

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ISSN: 1331-0623 (Print), 1848-8013 (Online)