10 citations · 10 across the 1 of their papers we have counts for
5 papers · 2 filters
Non-Locality of Equivariant Star Products on
Ranee Brylinski
Lecomte and Ovsienko constructed -equivariant quantization maps for symbols of differential operators on -densities on $\RP^n$. We derive some formulas for th…
Equivariant Deformation Quantization for the Cotangent Bundle of a Flag Manifold
Ranee Brylinski
Let $\XR$ be a (generalized) flag manifold of a non-compact real semisimple Lie group $\GR$, where $\XR$ and $\GR$ have complexifications X and G. We investigate the problem of con…
Non-Local Equivariant Star Product on the Minimal Nilpotent Orbit
Alexander Astashkevich, Ranee Brylinski
We construct a unique G-equivariant graded star product on the algebra of polynomial functions on the minimal nilpotent coadjoint orbit $\Omin$ of G where G is a complex s…
From Dixmier algebras to Star Products
Ranee Brylinski
Let M be a Galois cover of a nilpotent coadjoint orbit of a complex semisimple Lie group. We define the notion of a PERFECT Dixmier algebra for M and show how this produces a grade…
Quantization of Double Covers of Nilpotent Coadjoint Orbits I: Noncommutative Models
Ranee Brylinski
We construct by geometric methods a noncommutative model E of the algebra of regular functions on the universal (2-fold) cover M of certain nilpotent coadjoint orbits O for a compl…