Algebraic and Differential Star Products on Regular Orbits of Compact Lie Groups
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Algebraic and Differential Star Products on Regular Orbits of Compact Lie Groups

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Algebraic and Differential Star Products on Regular Orbits of Compact Lie Groups

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Fioresi, Rita; Levrero, A.; Lledó Barrena, María Antonia Perfil
Aquest document és un/a article, creat/da en: 2002

Este documento está disponible también en : http://dx.doi.org/10.2140/pjm.2002.206.321
In this paper we study a family of algebraic deformations of regular coadjoint orbits of compact semisimple Lie groups with the Kirillov Poisson bracket. The deformations are restrictions of deformations on the dual of the Lie algebra. We prove that there are non isomorphic deformations in the family. The star products are not differential, unlike the star products considered in other approaches. We make a comparison with the differential star product canonically defined by Kontsevich's map.

    Fioresi, R. Levrero, A. Lledó, Barrena, María Antonia 2002 Algebraic and Differential Star Products on Regular Orbits of Compact Lie Groups Pacific Journal of Mathematics 206 2 321 337
http://dx.doi.org/10.2140/pjm.2002.206.321
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