5 papers
Shifted affine iquantum groups of quasi-split ADE types
Kang Lu, Weiqiang Wang, Alex Weekes
We formulate shifted affine iquantum groups of arbitrary quasi-split ADE types via Drinfeld presentations. We construct GKLO-type representations of shifted affine iquantum groups…
Relative braid group symmetries on modified iquantum groups and their modules
Weiqiang Wang, Weinan Zhang
We present a comprehensive generalization of Lusztig's braid group symmetries for quasi-split iquantum groups. Specifically, we give 3 explicit rank one formulas for symmetries act…
Braid group action and quasi-split affine quantum groups I
Ming Lu, Weiqiang Wang, Weinan Zhang
This is the first of two papers on quasi-split affine quantum symmetric pairs , focusing on t…
Braid group action and quasi-split affine iquantum groups III
Ming Lu, Xiaolong Pan, Weiqiang Wang +1
This is the last of three papers on Drinfeld presentations of quasi-split affine iquantum groups , settling the remaining type ${\rm AIII}^{(Ï)}_{2r}…
Affine quantum groups and twisted Yangians in Drinfeld presentations
Kang Lu, Weiqiang Wang, Weinan Zhang
We formulate a family of algebras, twisted Yangians (of split type) in current generators and relations, via a degeneration of the Drinfeld presentation of affine quantum g…