3 papers
math.QA2000
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…
math.QA1999
Projective modules over non-commutative tori: classification of modules with constant curvature connection
Alexander Astashkevich, Albert Schwarz
We study finitely generated projective modules over noncommutative tori. We prove that for every module with constant curvature connection the corresponding element of th…
q-alg1997
Exotic Differential Operators on Complex Minimal Nilpotent Orbits
A. Astashkevich, R. Brylinski
Let O be the minimal nilpotent adjoint orbit in a classical complex semisimple Lie algebra g. O is a smooth quasi-affine variety stable under the Euler dilation action on g.…