Shifted affine iquantum groups of quasi-split ADE types
Quantum Algebra
2026-03-31 v1 Representation Theory
Abstract
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 via algebras of difference operators, which allow us to construct truncated shifted affine iquantum groups. This provides a q-deformation of truncated shifted iYangians in our prior work arising as a quantization of affine Grassmannian islices.
Keywords
Cite
@article{arxiv.2603.28446,
title = {Shifted affine iquantum groups of quasi-split ADE types},
author = {Kang Lu and Weiqiang Wang and Alex Weekes},
journal= {arXiv preprint arXiv:2603.28446},
year = {2026}
}
Comments
22 pages