• Corpus ID: 119151300

# Singular BGG complexes over isotropic 2-Grassmannian

```@article{Husadi2018SingularBC,
title={Singular BGG complexes over isotropic 2-Grassmannian},
journal={Journal of Lie Theory},
year={2018},
volume={28(4)},
pages={1149-1164}
}```
• Published 2018
• Mathematics
• Journal of Lie Theory
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

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