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

https://hrcak.srce.hr/235531

Publication date:

12.3.2020.

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