403 citations · 1.5k across the 66 of their papers we have counts for
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Differential operators and BV structures in noncommutative geometry
Victor Ginzburg, Travis Schedler
We introduce a new formalism of differential operators for a general associative algebra A. It replaces Grothendieck's notion of differential operator on a commutative algebra in s…
Noncommutative del Pezzo surfaces and Calabi-Yau algebras
Pavel Etingof, Victor Ginzburg
The hypersurface in a 3-dimensional vector space with an isolated quasi-homogeneous elliptic singularity of type E_r,r=6,7,8, has a natural Poisson structure. We show that the fami…
Moyal quantization and stable homology of necklace Lie algebras
Victor Ginzburg, Travis Schedler
We compute the stable homology of necklace Lie algebras associated with quivers and give a construction of stable homology classes from certain -categories. Our construct…
Moyal quantization of necklace Lie algebras
Victor Ginzburg, Travis Schedler
We use Moyal-type formulas to construct a Hopf algebra quantization of the necklace Lie bialgebra associated with a quiver.
On Deformations of Associative Algebras
Roman Bezrukavnikov, Victor Ginzburg
In a classic paper, Gerstenhaber showed that first order deformations of an associative k-algebra A are controlled by the second Hochschild cohomology group of A. More generally, a…
Continuous Hecke algebras
Pavel Etingof, Wee Liang Gan, Victor Ginzburg
We study a generalization of graded Hecke algebras introduced by Drinfeld in 1986, in which the role of a finite group G is played by a reductive algebraic group. This includes con…