7 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…
On the Dynamics of the Self Gravitating Ellipsoid in N dimensions and its Deformation Quantization
R. Fioresi
In this paper is constructed an algebraic deformation quantization of the coadjoint orbits of the group G semidirect product of the symmetric n by n matrices and GL(n). This group…
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…
On infinite dimensional grassmannians and their quantum deformations
R. Fioresi, C. Hacon
An algebraic approach is developed to define and study infinite dimensional grassmannians. Using this approach a quantum deformation is obtained for both the ind-variety union of a…
On algebraic supergroups and quantum deformations
R. Fioresi
We give the definitions of affine algebraic supervariety and affine algebraic group through the functor of points and we relate them to the other definitions present in the literat…
Algebraic and Differential Star Products on Regular Orbits of Compact Lie Groups
R. Fioresi, A. Levrero, M. A. Lledó
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 restr…