403 citations · 1.5k across the 66 of their papers we have counts for
4 papers · 1 filter
Cherednik algebras and differential operators on quasi-invariants
Yuri Berest, Pavel Etingof, Victor Ginzburg
We develop representation theory of the rational Cherednik algebra H associated to a finite Coxeter group W in a vector space h. It is applied to show that, for integral values of…
Calogero-Moser space and Kostka polynomials
Michael Finkelberg, Victor Ginzburg
We consider the canonical map from the Calogero-Moser space to symmetric powers of the affine line, sending conjugacy classes of pairs of n by n matrices to their eigenvalues. We s…
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…
Quantization of Slodowy slices
Wee Liang Gan, Victor Ginzburg
We give a direct proof of (a slight generalization of) the recent result of A. Premet related to generalized Gelfand-Graev representations and of an equivalence due to Skryabin.