9 citations · 33 across the 5 of their papers we have counts for
8 papers
A 2-categorical extension of Etingof-Kazhdan quantisation
Andrea Appel, Valerio Toledano-Laredo
Let k be a field of characteristic zero. Etingof and Kazhdan constructed a quantisation U_h(b) of any Lie bialgebra b over k, which depends on the choice of an associator Phi. They…
Coxeter categories and quantum groups
Andrea Appel, Valerio Toledano-Laredo
We define the notion of braided Coxeter category, which is informally a tensor category carrying compatible, commuting actions of a generalised braid group B_W and Artin's braid gr…
Monodromy of the Casimir connection of a symmetrisable Kac-Moody algebra
Andrea Appel, Valerio Toledano-Laredo
Let g be a symmetrisable Kac-Moody algebra and V an integrable g-module in category O. We show that the monodromy of the (normally ordered) rational Casimir connection on V can be…
Uniqueness of Coxeter structures on Kac-Moody algebras
Andrea Appel, Valerio Toledano-Laredo
Let g be a symmetrisable Kac-Moody algebra, and U_h(g) the corresponding quantum group. We showed in arXiv:1610.09744 and arXiv:1610.09741 that the braided quasi-Coxeter structure…
Meromorphic tensor equivalence for Yangians and quantum loop algebras
Sachin Gautam, Valerio Toledano-Laredo
Let be a complex semisimple Lie algebra, and , the corresponding Yangian and quantum loop algebra, with deformation parame…
Yangians and quantum loop algebras
Sachin Gautam, Valerio Toledano-Laredo
Let g be a complex, semisimple Lie algebra. Drinfeld showed that the quantum loop algebra U_h(Lg) of g degenerates to the Yangian Y_h(g). We strengthen this result by constructing…