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math.DGJun 23, 2011
12
citations (OpenAlex)
authors
  • Michael G. Eastwood
  • A. Rod Gover
institutions
  • Australian Mathematical Sciences Institute
  • Australian National University
arXiv abstractPDF
paper

The BGG Complex on Projective Space

arXiv:1106.4623 · doi:10.3842/SIGMA.2011.060

Abstract

We give a complete construction of the Bernstein-Gelfand-Gelfand complex on real or complex projective space using minimal ingredients.

References in corpus (1)

  • Ricci-corrected derivatives and invariant differential operators

Cited by in corpus (6)

  • Metric projective geometry, BGG detour complexes and partially massless gauge theories
  • Critical symplectic connections on surfaces
  • Prolongation of symmetric Killing tensors and commuting symmetries of the Laplace operator
  • Ti and Spi, Carrollian extended boundaries at timelike and spatial infinity
  • Bernstein-Gelfand-Gelfand resolutions for linear superalgebras
  • Tractor calculus, BGG complexes, and the cohomology of Kleinian groups
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