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On tangential star products for the coadjoint Poisson structure

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UNSPECIFIED (1996) On tangential star products for the coadjoint Poisson structure. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 180 (1). pp. 99-108. ISSN 0010-3616

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Abstract

We derive necessary conditions on a Lie algebra from the existence of a star product on a neighbourhood of the origin in the dual of the Lie algebra for the coadjoint Poisson structure which is both differential and tangential to all the coadjoint orbits. In particular we show that when the Lie algebra is semisimple there are no differential and tangential star products on any neighbourhood of the origin in the dual of its Lie algebra.

Item Type: Journal Article
Subjects: Q Science > QC Physics
Journal or Publication Title: COMMUNICATIONS IN MATHEMATICAL PHYSICS
Publisher: SPRINGER VERLAG
ISSN: 0010-3616
Date: September 1996
Volume: 180
Number: 1
Number of Pages: 10
Page Range: pp. 99-108
Publication Status: Published
URI: http://wrap.warwick.ac.uk/id/eprint/18486

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