17 citations · 17 across the 2 of their papers we have counts for
4 papers · 1 filter
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…
On the decomposition matrices of the quantized Schur algebra
Michela Varagnolo, Eric Vasserot
We prove the decomposition conjecture of Leclerc and Thibon for the Schur algebra. We also give a new approach to the Lusztig conjecture for the dimension of the simple U(sl_k)-mod…