A. Odesskii

activity

19952025

most citedVector bundles on elliptic curve and Sklyanin algebras

45 citations · 268 across the 43 of their papers we have counts for

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16 papers · 1 filter

math.QA2019★ 1 cited

Nonabelian elliptic Poisson structures on projective spaces

A. Odesskii, V. Sokolov

We review nonabelian Poisson structures on affine and projective spaces over $C$ . We also construct a class of examples of nonabelian Poisson structures on $\mathbb{C} P^{…

math.QA2019

Poisson structures on loop spaces of $C P^{n}$ and an $r$ -matrix associated with the universal elliptic curve

Alexander Odesskii

We construct a family of Poisson structures of hydrodynamic type on the loop space of $C P^{n - 1}$ . This family is parametrized by the moduli space of elliptic curves or, i…

math.QA2017

Functional equations in algebra

Boris Feigin, Alexander Odesskii

We study flat deformations of quotients of a polynomial algebra in a class of graded commutative associative algebras. Functional equations and their solutions in terms of theta fu…

math.QA2017

K-projectors

Alexander Odesskii

We study representations of a free associative algebra $T^{*} (W \otimes W^{*})$ in a vector space $V$ with the property $V \otimes V ≅ V \oplus V_{0}$ where $T^{*} (W \otimes W^{*})$ acts by z…

math.QA2012★ 7 cited

Compatible quadratic Poisson brackets related to a family of elliptic curves

Alexander Odesskii, Thomas Wolf

We construct nine pairwise compatible quadratic Poisson structures such that a generic linear combination of them is associated with an elliptic algebra in n generators. Explicit f…

math.QA2006

Pairs of compatible associative algebras, classical Yang-Baxter equation and quiver representations

Alexander Odesskii, Vladimir Sokolov

Given an associative multiplication in matrix algebra compatible with the usual one or, in other words, linear deformation of matrix algebra, we construct a solution to the classic…