101 citations · 272 across the 18 of their papers we have counts for
19 papers
An abelian formula for the quantum Weyl group action of the coroot lattice
S. Gautam, V. Toledano-Laredo
Let g be a complex simple Lie algebra and Uq(Lg) its quantum loop algebra, where q is not a root of unity. We give an explicit formula for the quantum Weyl group action of the coro…
On the Finkelberg-Ginzburg Mirabolic Monodromy Conjecture
Valerio Toledano-Laredo, Robin Walters
We compute the monodromy of the mirabolic Harish-Chandra D-module for all values of the parameters (theta,c) in rank 1, and outside an explicit codimension 2 set of values in ranks…
Pure braid group actions on category O modules
Andrea Appel, Valerio Toledano-Laredo
Let g be a symmetrisable Kac-Moody algebra and U_h(g) its quantised enveloping algebra. Answering a question of P. Etingof, we prove that the quantum Weyl group operators of U_h(g)…
The elliptic Casimir connection of a simple Lie algebra
Valerio Toledano-Laredo, Yaping Yang
We construct a flat connection on the elliptic configuration space associated to any complex semisimple Lie algebra g. This elliptic Casimir connection has logarithmic singularitie…
Universal KZB Equations for arbitrary root systems
Valerio Toledano-Laredo, Yaping Yang
Generalising work of Calaque-Enriquez-Etingof, we construct a universal KZB connection D_R for any finite (reduced, crystallographic) root system R. D_R is a flat connection on the…
Elliptic quantum groups and their finite-dimensional representations
Sachin Gautam, Valerio Toledano-Laredo
Let g be a complex semisimple Lie algebra, tau a point in the upper half-plane, and h a complex deformation parameter such that the image of h in the elliptic curve E_tau is of inf…