64 citations · 173 across the 7 of their papers we have counts for
7 papers
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…
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…
On noncommutative Nahm transform
A. Astashkevich, N. Nekrasov, A. Schwarz
Motivated by the recently observed relation between the physics of -branes in the background of -field and the noncommutative geometry we study the analogue of Nahm transform…
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.…
String center of mass operator and its effect on BRST cohomology
Alexander Astashkevich, Alexander Belopolsky
We consider the theory of bosonic closed strings on the flat background R(25,1). We show how the BRST complex can be extended to a complex where the string center of mass operator,…
On the structure of Verma module over Virasoro and Neveu-Schwarz algebras
A. Astashkevich
In the paper we present a different proof of the theorem of B. L. Feigin and D. B. Fuchs about the structure of Verma modules over Virasoro algebra. We state some new results about…