17 citations · 31 across the 4 of their papers we have counts for
6 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.
Geometric construction of the global base of the quantum modified algebra of affine GL_N
O. Schiffmann, E. Vasserot
We prove that the global base of the modified quantum algebra of affine GL_N is compatible with the intersection cohomology base of the convolution algebra of the affine flag varie…
Zelevinsky's involution at roots of unity
B. Leclerc, J. -Y. Thibon, E. Vasserot
We give a combinatorial algorithm for computing Zelevinsky's involution of the set of isomorphism classes of irreducible representations of the affine Hecke algebra $\H_m(t)$ when…
Affine quantum groups and equivariant K-theory
Eric Vasserot
We give complete proofs of the K-theoretic construction of the quantized enveloping algebra of affine gl(n) sketched with V. Ginzburg in Internat. Math. Res. Notices, 3 (1993).
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…