29 citations · 72 across the 12 of their papers we have counts for
4 papers · 1 filter
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)…
On a conjecture of Khoroshkin and Tolstoy
Andrea Appel, Sachin Gautam, Curtis Wendlandt
We prove a no-go theorem on the factorization of the lower triangular part in the Gaussian decomposition of the Yangian's universal -matrix, yielding a negative answer to a conj…
Generalized Schur-Weyl dualities for quantum affine symmetric pairs and orientifold KLR algebras
Andrea Appel, Tomasz Przezdziecki
Let be a complex simple Lie algebra and the corresponding quantum affine algebra. We construct a functor between finite-dimensional…
Trigonometric K-matrices for finite-dimensional representations of quantum affine algebras
Andrea Appel, Bart Vlaar
Let be a complex simple Lie algebra and the corresponding quantum affine algebra. We prove that every irreducible finite-dimensional $U_q(\…