The analogs of Riemann and Penrose tensors on supermanifolds

Details The analogs of Riemann and Penrose tensors on supermanifolds The analogs of Riemann and Penrose tensors on supermanifolds

2005-10-08

arxiv.org/abs/math/0510165v1

Mathematics

Representation Theory

71 pp, LaTeX. The paper expounds the results of my eight papers that appeared mainly in not very accessible journals and proce

Scientific paper

The Spencer cohomology of certain graded Lie superalgebras are completely
computed. This cohomology is interpreted as analogs of Riemann and Penrose
tensors on supermanifolds. The results make it manifest that there is no simple
generalization of Borel-Weil-Bott's theorem for Lie superalgebras.

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