129 citations · 692 across the 54 of their papers we have counts for
5 papers · 1 filter
Canonical bases and affine Hecke algebras of type D
Peng Shan, Michela Varagnolo, Eric Vasserot
We prove a conjecture of Kashiwara and Miemietz on canonical bases and branching rules of affine Hecke algebras of type D. The proof is similar to the proof of the type B case.
Double affine Hecke algebras and affine flag manifolds, I
Michela Varagnolo, Eric Vasserot
This lecture reviews the classification of simple modules of double affine Hecke algebras via the K-theory of Steinberg varieties of affine type
Canonical bases and affine Hecke algebras of type B
Michela Varagnolo, Eric Vasserot
We prove a series of conjectures of Enomoto and Kashiwara on canonical bases and branching rules of affine Hecke algebras of type B. The main ingredient of the proof is a new grade…
The elliptic Hall algebra and the equivariant K-theory of the Hilbert scheme of
Olivier Schiffmann, Eric Vasserot
In this paper we compute the convolution algebra in the equivariant K-theory of the Hilbert scheme of A^2. We show that it is isomorphic to the elliptic Hall algebra, and hence to…
Canonical bases and Khovanov-Lauda algebras
M. Varagnolo, E. Vasserot
We prove some recent conjectures of Khovanov-Lauda concerning the categorification of one-half of the quantum group associated with a simply laced Cartan datum.