6533b7d2fe1ef96bd125e386
RESEARCH PRODUCT
A Comparison between Star Products on Regular Orbits of Compact Lie Groups
M. A. LledoR. Fioresisubject
High Energy Physics - TheoryAlgebra homomorphismPure mathematicsGroup (mathematics)Structure (category theory)FOS: Physical sciencesGeneral Physics and AstronomyLie groupFísicaStatistical and Nonlinear PhysicsAstrophysics::Cosmology and Extragalactic AstrophysicsStar (graph theory)High Energy Physics - Theory (hep-th)Star productMathematics - Quantum AlgebraFOS: MathematicsQuantum Algebra (math.QA)Astrophysics::Solar and Stellar AstrophysicsAstrophysics::Earth and Planetary AstrophysicsOrbit (control theory)Mathematical PhysicsDifferential (mathematics)Astrophysics::Galaxy AstrophysicsMathematicsdescription
In this paper an algebraic star product and differential one defined on a regular coadjoint orbit of a compact semisimple group are compared. It is proven that there is an injective algebra homomorphism between the algebra of polynomials with the algebraic star product and the algebra of differential functions with the differential star product structure.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2001-06-15 |