# Singular BGG complexes over isotropic 2-Grassmannian

@article{Husadi2018SingularBC, title={Singular BGG complexes over isotropic 2-Grassmannian}, author={Denis Husad{\vz}i{\'c} and Rafael Mrđen}, journal={Journal of Lie Theory}, year={2018}, volume={28(4)}, pages={1149-1164} }

We construct exact sequences of invariant differential operators acting on sections of certain homogeneous vector bundles in singular infinitesimal character, over the isotropic 2-Grassmannian. This space is equal to G/P , where G is Sp(2n,C), and P its standard parabolic subgroup having the Levi factor GL(2,C)×Sp(2n−4, C). The constructed sequences are analogues of the Bernstein-Gelfand-Gelfand resolutions. We do this by considering the Penrose transform over an appropriate double fibration…

## 2 Citations

### Singular BGG complexes for the symplectic case

- Mathematics
- 2017

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…

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