Original scientific paper
Singular BGG complexes for the symplectic case
Rafael Mrđen
orcid.org/0000-0001-9502-5689
; Faculty of Civil Engineering, University of Zagreb, Zagreb, Croatia
Abstract
Using the Penrose transform, we construct analogues of the BGG (BernsteinGelfand-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.
Keywords
Bernstein-Gelfand-Gelfand (BGG) complexes; singular infinitesimal character; invariant differential operators; Lagrangian Grassmannian; Penrose transform
Hrčak ID:
235531
URI
Publication date:
12.3.2020.
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