403 citations · 579 across the 18 of their papers we have counts for
7 papers · 1 filter
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…
Deformed preprojective algebras and symplectic reflection algebras for wreath products
Wee Liang Gan, Victor Ginzburg
We determine the PBW deformations of the wreath product of a symmetric group with a deformed preprojective algebra of an affine Dynkin quiver. In particular, we show that there is…
Morita Equivalence of Cherednik Algebras
Yuri Berest, Pavel Etingof, Victor Ginzburg
We classify the rational Cherednik algebras H_c(W) (and their spherical subalgebras) up to isomorphism and Morita equivalence in case when W is the symmetric group and `c' is a gen…
On m-quasiinvariants of Coxeter groups
Pavel Etingof, Victor Ginzburg
Let W be a finite Coxeter group in a Euclidean vector space V, and m a W-invariant Z_+-valued function on the set of reflections in W. Chalyh and Veselov introduced in an interesti…