403 citations · 1.5k across the 66 of their papers we have counts for
9 papers · 1 filter
Harish-Chandra homomorphisms and symplectic reflection algebras for wreath-products
Pavel Etingof, Wee Liang Gan, Victor Ginzburg +1
The main result of the paper is a natural construction of the spherical subalgebra in a symplectic reflection algebra associated with a wreath-product in terms of quantum hamiltoni…
A remark on a theorem of M. Haiman
Victor Ginzburg
We deduce a special case of a theorem of M. Haiman concerning alternating polynomials in 2n variables from our results about almost commuting variety, obtained earlier in a joint w…
Lectures on Noncommutative Geometry
Victor Ginzburg
These Lectures are based on a course on noncommutative geometry given by the author in 2003 at the University of Chicago. The lectures contain some standard material, such as Poiss…
Symplectic reflection algebras and non-homogeneous N-Koszul property
Roland Berger, Victor Ginzburg
From symplectic reflection algebras, some algebras are naturally introduced. We show that these algebras are non-homogeneous N-Koszul algebras, through a PBW theorem.
Double derivations and Cyclic homology
Victor Ginzburg
We give a new construction of cyclic homology of an associative algebra A that does not involve Connes' differential. Our approach is based on an extended version of the complex ΩA…
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.