Singular BGG complexes for the symplectic case

Published 13 Nov 2017 in math.DG and math.RT | (1711.04752v2)

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.

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Rafael Mrđen

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