• Corpus ID: 119151300

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… 

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