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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 | ||||
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Subjects: | Q Science > QC Physics | ||||
Journal or Publication Title: | COMMUNICATIONS IN MATHEMATICAL PHYSICS | ||||
Publisher: | SPRINGER VERLAG | ||||
ISSN: | 0010-3616 | ||||
Official Date: | September 1996 | ||||
Dates: |
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Volume: | 180 | ||||
Number: | 1 | ||||
Number of Pages: | 10 | ||||
Page Range: | pp. 99-108 | ||||
Publication Status: | Published |
Data sourced from Thomson Reuters' Web of Knowledge
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