English

Singular BGG complexes for the symplectic case

Differential Geometry 2020-03-12 v2 Representation Theory

Abstract

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 Lagrangian Grassmannian. We prove the exactness of the constructed complex over the big affine cell.

Cite

@article{arxiv.1711.04752,
  title  = {Singular BGG complexes for the symplectic case},
  author = {Rafael Mrđen},
  journal= {arXiv preprint arXiv:1711.04752},
  year   = {2020}
}

Comments

Corrected typos. Comments are welcome

R2 v1 2026-06-22T22:44:36.962Z