On sl(2)-equivariant quantizations

Details On sl(2)-equivariant quantizations On sl(2)-equivariant quantizations

2006-01-14

arxiv.org/abs/math/0601353v1

Mathematics

Differential Geometry

09 pages, LaTeX2e, no figures; to appear in Journal of Nonlinear Mathematical Physics

Scientific paper

By computing certain cohomology of Vect(M) of smooth vector fields we prove
that on 1-dimensional manifolds M there is no quantization map intertwining the
action of non-projective embeddings of the Lie algebra sl(2) into the Lie
algebra Vect(M). Contrariwise, for projective embeddings sl(2)-equivariant
quantization exists.

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