53 citations · 507 across the 55 of their papers we have counts for
5 papers · 2 filters
Tensor product categorifications and the super Kazhdan-Lusztig conjecture
Jonathan Brundan, Ivan Losev, Ben Webster
We give a new proof of the "super Kazhdan-Lusztig conjecture" for the Lie super algebra as formulated originally by the first author. We also prov…
Etingof conjecture for quantized quiver varieties
Roman Bezrukavnikov, Ivan Losev
We compute the number of finite dimensional irreducible modules for the algebras quantizing Nakajima quiver varieties. We get a lower bound for all quivers and vectors of framing a…
Proof of Varagnolo-Vasserot conjecture on cyclotomic categories O
Ivan Losev
We prove an asymptotic version of a conjecture by Varagnolo and Vasserot on an equivalence between the category O for a cyclotomic Rational Cherednik algebra and a suitable truncat…
Representations of Rational Cherednik algebras with minimal support and torus knots
Pavel Etingof, Eugene Gorsky, Ivan Losev
We obtain several results about representations of rational Cherednik algebras, and discuss their applications. Our first result is the Cohen-Macaulayness property (as modules over…
On uniqueness of tensor products of irreducible categorifications
Ivan Losev, Ben Webster
In this paper, we propose an axiomatic definition for a tensor product categorification. A tensor product categorification is an abelian category with a categorical action of a Kac…