83 citations · 155 across the 14 of their papers we have counts for
5 papers · 1 filter
Almost-commuting variety, D-modules, and Cherednik Algebras
Wee Liang Gan, Victor Ginzburg
We study a scheme M closely related to the set of pairs of n by n-matrices with rank 1 commutator. We show that M is a reduced complete intersection with n+1 irreducible components…
Quantum Groups, the loop Grassmannian, and the Springer resolution
Sergey Arkhipov, Roman Bezrukavnikov, Victor Ginzburg
We establish equivalences of derived categories of the following 3 categories: (1) Principal block of representations of the quantum at a root of 1; (2) G-equivariant coherent shea…
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…
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…
Representations of quantum tori and double-affine Hecke algebras
Vladimir Baranovsky, Sam Evens, Victor Ginzburg
We study a BGG-type category of infinite dimensional representations of H[W], a semi-direct product of the quantum torus with parameter `q' built on the root lattice of a semisimpl…