On sl(2)-equivariant quantizations

S. Bouarroudj; M. Iadh Ayari

doi:10.2991/jnmp.2007.14.2.4

On sl(2)-equivariant quantizations

S. Bouarroudj, M. Iadh Ayari

Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English (US)
Pages (from-to)	179-187
Number of pages	9
Journal	Journal of Nonlinear Mathematical Physics
Volume	14
Issue number	2
DOIs	https://doi.org/10.2991/jnmp.2007.14.2.4
State	Published - Apr 2007

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.2991/jnmp.2007.14.2.4

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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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year = "2007",

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On sl(2)-equivariant quantizations

Abstract

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