4 papers · 1 filter
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…
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…
Braid group action and quasi-split affine quantum groups II: higher rank
Ming Lu, Weiqiang Wang, Weinan Zhang
This paper studies quantum symmetric pairs associated with quasi-split Satake diagrams of affine type $A_{2r-1}, D_r, E_{6}…