209 citations · 1.5k across the 128 of their papers we have counts for
131 papers
A Drinfeld type presentation of twisted Yangians
Kang Lu, Weiqiang Wang, Weinan Zhang
We develop a Gauss decomposition approach to establish a Drinfeld type current presentation for Olshanski's twisted Yangians associated to the orthogonal Lie algebras (also called…
Nil-Brauer categorifies the split iquantum group of rank one
Jonathan Brundan, Weiqiang Wang, Ben Webster
We prove that the Grothendieck ring of the monoidal category of finitely generated graded projective modules for the nil-Brauer category is isomorphic to an integral form of the sp…
The nil-Brauer category
Jonathan Brundan, Weiqiang Wang, Ben Webster
We introduce the nil-Brauer category and prove a basis theorem for its morphism spaces. This basis theorem is an essential ingredient required to prove that nil-Brauer categorifies…
Hall algebras and quantum groups
Ming Lu, Weiqiang Wang
We survey some recent development on the theory of Hall algebras. Starting from quivers (aka quivers with involutions), we construct a class of 1-Gorenstein algebra…
Formulae of -divided powers in , III
Xinhong Chen, Weiqiang Wang
The -divided powers (depending on a parity) form the canonical basis for the split rank 1 quantum group and they are a basic ingredient for quantum…
An intrinsic approach to relative braid group symmetries on quantum groups
Weiqiang Wang, Weinan Zhang
We initiate a general approach to the relative braid group symmetries on (universal) quantum groups, arising from quantum symmetric pairs of arbitrary finite types, and the…