Quasi-Coxeter categories and a relative Etingof-Kazhdan quantization functor

Andrea Appel, Valerio Toledano-Laredo

Let g be a symmetrizable Kac-Moody algebra and U_h(g) its quantized enveloping algebra. The quantum Weyl group operators of U_h(g) and the universal R-matrices of its Levi subalgeb…