2 citations · 4 across the 4 of their papers we have counts for
9 papers
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(\…
Universal K-matrices for quantum Kac-Moody algebras
Andrea Appel, Bart Vlaar
We introduce the notion of a cylindrical bialgebra, which is a quasitriangular bialgebra endowed with a universal K-matrix, i.e., a universal solution of a generalized reflecti…
Quantization of continuum Kac-Moody algebras
Andrea Appel, Francesco Sala
Continuum Kac-Moody algebras have been recently introduced by the authors and O. Schiffmann. These are Lie algebras governed by a continuum root system, which can be realized as un…