12 citations · 17 across the 4 of their papers we have counts for
5 papers
Deformation quantization of submanifolds and reductions via Duflo-Kirillov-Kontsevich map
A. Chervov, L. Rybnikov
We propose the following receipt to obtain the quantization of the Poisson submanifold defined by the equations (where are Casimirs) from the known quantization o…
Rational Lax operators and their quantization
A. Chervov, L. Rybnikov, D. Talalaev
We investigate the construction of the quantum commuting hamiltonians for the Gaudin integrable model. We prove that [Tr L^k(z), Tr L^m(u) ]=0, for k,m < 4 . However this naive rec…
Hitchin system on singular curves I
A. Chervov, D. Talalaev
In this paper we study Hitchin system on singular curves. Some examples of such system were first considered by N. Nekrasov (hep-th/9503157), but our methods are different. We cons…
Courant Algebroids
Paul Bressler, Alexander Chervov
This paper is devoted to studying some properties of the Courant algebroids: we explain the so-called "conducting bundle construction" and use it to attach the Courant algebroid to…
Raising operators for the Whittaker wave functions of the Toda chain and intertwining operators
Alexander Chervov
Intertwiners between representations of Lie groups can be used to obtain relations for matrix elements. We apply this technique to obtain different identities for the wave function…