17 citations · 17 across the 2 of their papers we have counts for
8 papers
From double affine Hecke algebras to quantized affine Schur algebras
Michela Varagnolo, Eric Vasserot
We prove that the double affine Hecke algebra of type A is Morita equivalent to the quantized affine Schur algebra.
Periodic modules and quantum groups
Michela Varagnolo
We prove that the elements defined by Lusztig in a completion of the periodic module actually live in the periodic module, in the type A case. In order to prove this, we c…
Canonical bases and quiver varieties
M. Varagnolo, E. Vasserot
We prove the existence of canonical bases in the K-theory of quiver varieties. This existence was conjectured by Lusztig.
Perverse sheaves and quantum Grothendieck rings
Michela Varagnolo, Eric Vasserot
We define a quantum analogue of the Grothendieck ring of finite dimensional modules of a quantum affine algebra of simply laced type. The construction is based on perverse sheaves…
Standard modules of quantum affine algebras
Michela Varagnolo, Eric Vasserot
We give a proof of the cyclicity conjecture of Akasaka-Kashiwara, for simply laced types, via quiver varieties. We get also an algebraic characterization of the standard modules.
Quiver Varieties and Yangians
Michela Varagnolo
We prove a conjecture of Nakajima (for type A the result was announced by Ginzburg- Vasserot) giving a geometric realization, via quiver varieties, of the Yangian of type ADE (and…