403 citations · 1.5k across the 66 of their papers we have counts for
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Poisson deformations of symplectic quotient singularities
Victor Ginzburg, Dmitry Kaledin
We establish a connection between smooth symplectic resolutions and symplectic deformations of a (possibly singular) affine Poisson variety. In particular, let V be a finite-dimens…
On the category O for rational Cherednik algebras
Victor Ginzburg, Nicolas Guay, Eric Opdam +1
We study the category O of representations of the rational Cherednik algebra A attached to a complex reflection group W. We construct an exact functor, called Knizhnik-Zamolodchiko…
Finite dimensional representations of rational Cherednik algebras
Yuri Berest, Pavel Etingof, Victor Ginzburg
A complete classification and character formulas for finite-dimensional irreducible representations of the rational Cherednik algebra of type A is given. Less complete results for…
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…
Wilson's grassmannian and a noncommutative Quadric
Vladimir Baranovsky, Victor Ginzburg, Alexander Kuznetsov
Let the group G of m-th roots of unity act on the complex line by multiplication, inducing an action on the algebra, Diff, of polynomial differential operators on the line. Followi…
On primitive ideals
Victor Ginzburg
We extend two well-known results on primitive ideals in enveloping algebras of semisimple Lie algebras, the `Irreducibility theorem' and `Duflo theorem', to much wider classes of a…