Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 7 (2011), 060, 18 pages      arXiv:1106.4623      https://doi.org/10.3842/SIGMA.2011.060
Contribution to the Special Issue “Symmetry, Separation, Super-integrability and Special Functions (S4)”

The BGG Complex on Projective Space

Michael G. Eastwood a and A. Rod Gover a, b
a) Mathematical Sciences Institute, Australian National University, ACT 0200, Australia
b) Department of Mathematics, University of Auckland, Private Bag 92019, Auckland 1142, New Zealand

Received January 30, 2011, in final form June 18, 2011; Published online June 23, 2011

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

Key words: differential complex; BGG complex; projective space; Lie algebra cohomology; parabolic geometry.

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