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The BGG Complex on Projective Space
Michael G. Eastwooda,
A. Rod Goverb a Mathematical Sciences Institute, Australian National University, ACT 0200, Australia
b Department of Mathematics, University of Auckland, Private Bag 92019, Auckland 1142, New Zealand
Abstract:
We give a complete construction of the Bernstein–Gelfand–Gelfand complex on real or complex projective space using minimal ingredients.
Keywords:
differential complex; BGG complex; projective space; Lie algebra cohomology; parabolic geometry.
MSC: 53A20;
17B56;
58D19;
58J70 Received: January 30, 2011; in final form
June 18, 2011; Published online
June 23, 2011
Language: English
DOI:
10.3842/SIGMA.2011.060
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