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Singular BGG complexes for the symplectic case

Rafael Mrđen orcid id orcid.org/0000-0001-9502-5689 ; Faculty of Civil Engineering, University of Zagreb, Zagreb, Croatia


Puni tekst: engleski pdf 633 Kb

str. 13-34

preuzimanja: 110

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Sažetak

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.

Ključne riječi

Bernstein-Gelfand-Gelfand (BGG) complexes, singular infinitesimal character, invariant differential operators, Lagrangian Grassmannian, Penrose transform

Hrčak ID:

235531

URI

https://hrcak.srce.hr/235531

Posjeta: 271 *