4 papers · 1 filter
On the deformation quantization of affine algebraic varieties
R. Fioresi, M. A. Lledo, V. S. Varadarajan
We compute an explicit algebraic deformation quantization for an affine Poisson variety described by an ideal in a polynomial ring, and inheriting its Poisson structure from the am…
A review on deformation quantization of coadjoint orbits of semisimple Lie groups
R. Fioresi, M. A. Lledo
In this paper we make a review of the results obtained in previous works by the authors on deformation quantization of coadjoint orbits of semisimple Lie groups. We motivate the pr…
Deformation Quantization of Non Regular Orbits of Compact Lie Groups
M. A. Lledo
In this paper we construct a deformation quantization of the algebra of polynomials of an arbitrary (regular and non regular) coadjoint orbit of a compact semisimple Lie group. The…
On the deformation quantization of coadjoint orbits of semisimple Lie groups
R. Fioresi, M. A. Lledo
In this paper we consider the problem of deformation quantization of the algebra of polynomial functions on coadjoint orbits of semisimple lie groups. The deformation of an orbit i…