Author: Rafael Mrđen
Mathematical Communications 25(2020), 13–34.
https://www.mathos.unios.hr/mc/index.php/mc/article/view/3149
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.