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On sl(2)-equivariant quantizations

S. Bouarroudj·M. Iyadh Ayari
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Abstract

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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BibTeXRIS

S. Bouarroudj, M. Iyadh Ayari. 2006-01-14. On sl(2)-equivariant quantizations. https://doi.org/10.2991/jnmp.2007.14.2.4

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