17 citations · 31 across the 4 of their papers we have counts for
4 papers · 1 filter
Kleinian singularities, derived categories and Hall algebras
M. Kapranov, E. Vasserot
We describe the derived category of coherent sheaves on the minimal resolution of the Kleinian singularity associated to a finite subgroup G of SL(2). Then, we give an application…
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…