403 citations · 1.5k across the 66 of their papers we have counts for
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Parabolic induction and the Harish-Chandra D-module
Victor Ginzburg
Let G be a reductive group and L a Levi subgroup. Parabolic induction and restriction are a pair of adjoint functors between Ad-equivariant derived categories of either constructib…
Mirabolic Satake equivalence and supergroups
Alexander Braverman, Michael Finkelberg, Victor Ginzburg +1
We construct a mirabolic analogue of the geometric Satake equivalence. We also prove an equivalence that relates representations of a supergroup with the category of $GL(N-1,{\math…
Differential operators on G/U and the Gelfand-Graev action
Victor Ginzburg, David Kazhdan
Let G be a complex semisimple group and U its maximal unipotent subgroup. We study the algebra D(G/U) of algebraic differential operators on G/U and also its quasi-classical counte…
Nil Hecke algebras and Whittaker D-modules
Victor Ginzburg
Given a reductive group G, Kostant and Kumar defined a nil Hecke algebra that may be viewed as a degenerate version of the double affine nil Hecke algebra introduced by Cherednik.…
Differential operators on G/U and the affine Grassmannian
Victor Ginzburg, Simon Riche
We describe the equivariant cohomology of cofibers of spherical perverse sheaves on the affine Grassmannian of a reductive algebraic group in terms of the geometry of the Langlands…
Hamiltonian reduction and nearby cycles for Mirabolic D-modules
Gwyn Bellamy, Victor Ginzburg
We study holonomic D-modules on SL_n(C)xC^n, called mirabolic modules, analogous to Lusztig's character sheaves. We describe the supports of simple mirabolic modules. We show that…