• Quantum flag manifolds, quantum symmetric spaces and their associated universal K-matrices 

      De Commer, Kenny; Matassa, Marco (Advances in Mathematics;Volume 366, 3 June 2020, 107029, Journal article; Peer reviewed, 2020-06-03)
      Let U be a connected, simply connected compact Lie group with complexification G. Let u and g be the associated Lie algebras. Let Γ be the Dynkin diagram of g with underlying set I, and let Uq(u) be the associated quantized ...
    • Ribbon braided module categories, quantum symmetric pairs and Knizhnik-Zamolodchikov equations 

      De Commer, Kenny; Neshveyev, Sergey; Tuset, Lars; Yamashita, Makoto (Communications in Mathematical Physics;May 2019, Volume 367, Issue 3, Journal article; Peer reviewed, 2018-11-06)
      Let u be a compact semisimple Lie algebra, and σ be a Lie algebra involution of u. Let Repq(u) be the ribbon braided tensor C∗-category of admissible Uq(u)-representations for 0 < q < 1. We introduce three module C∗-categories ...