A Global version of Grozman's theorem

Details A Global version of Grozman's theorem A Global version of Grozman's theorem

2012-04-03

arxiv.org/abs/1204.0695v1

Mathematics

Representation Theory

Scientific paper

Let X be a manifold. The classification of all equivariant bilinear maps between tensor density modules over X has been investigated by Yu Grozman, who has provided a full classification for those which are differential operators. Here, we investigate the same question without the hypothesis that the maps are differential operators. In our paper, the geometric context is algebraic geometry and the manifold X is the circle Spec C[z,z^{-1}].

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