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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