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

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dc.creatorFioresi, R.
dc.creatorLevrero, A.
dc.creatorLledó, M. A.
dc.date2000-11-22
dc.date2001-05-29
dc.date.accessioned2026-07-07T04:38:45Z
dc.date.available2026-07-07T04:38:45Z
dc.descriptionIn 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.
dc.descriptionAMS-LaTeX, 20 pages. Version to appear in the Pacific Journal of Mathematics
dc.identifierhttps://arxiv.org/abs/math/0011172
dc.identifierhttp://arxiv.org/abs/math/0011172
dc.identifierPacific J.Math. 206 (2002) 321-337
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60405
dc.subjectQuantum Algebra
dc.subjectHigh Energy Physics - Theory
dc.titleAlgebraic and Differential Star Products on Regular Orbits of Compact Lie Groups
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