6533b855fe1ef96bd12aff77
RESEARCH PRODUCT
Algebraic and Differential Star Products on Regular Orbits of Compact Lie Groups
Rita FioresiA. LevreroM. A. Lledosubject
High Energy Physics - TheoryGeneral MathematicsSimple Lie groupLie groupFOS: Physical sciencesRepresentation theoryLie Grups deAlgebraPoisson bracketCompact groupHigh Energy Physics - Theory (hep-th)Star productMathematics::Quantum AlgebraMathematics - Quantum AlgebraLie algebraFOS: MathematicsQuantum Algebra (math.QA)Astrophysics::Earth and Planetary AstrophysicsÀlgebraDifferential (mathematics)Mathematicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2000-11-22 |