45 citations · 268 across the 43 of their papers we have counts for
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Quantization of canonical cones of algebraic curves
B. Enriquez, A. Odesskii
We introduce a quantization of the graded algebra of functions on the canonical cone of an algebraic curve C, based on the theory of formal pseudodifferential operators. When C is…
Double Elliptic Dynamical Systems From Generalized Mukai - Sklyanin Algebras
H. Braden, A. Gorsky, A. Odesskii +1
We consider the double-elliptic generalisation of dynamical systems of Calogero-Toda-Ruijsenaars type using finite-dimensional Mukai-Sklyanin algebras. The two-body system, which i…
Local action of the symmetric group and the twisted Yang-Baxter relation
Alexander Odesskii
The generalization of the the Yang-Baxter relation is proposed. In this generalization the spectral parameters of the particles change after the scattering. The corresponding algeb…
New relations in the algebra of the Baxter Q-operators
A. A. Belavin, A. V. Odesskii, R. A. Usmanov
We consider irreducible cyclic representations of the algebra of monodromy matrices corresponding to the R-matrix of the six-vertex model. In roots of unity the Baxter Q-operator c…
Polynomilal Poisson algebras with regular structure of symplectic leaves
A. Odesskii, V. Rubtsov
We study polynomial Poisson algebras with some regularity conditions. Linear (Lie-Berezin-Kirillov) structures on dual spaces of semi-simple Lie algebras, quadratic Sklyanin ellipt…