Isomorphism between twisted $q$-Yangians and affine $\imath$quantum groups: type AI
Quantum Algebra
2025-01-14 v2 Mathematical Physics
math.MP
Representation Theory
Abstract
By employing Gauss decomposition, we establish a direct and explicit isomorphism between the twisted -Yangians (in R-matrix presentation) and affine quantum groups (in current presentation) associated to symmetric pair of type AI introduced by Molev-Ragoucy-Sorba and Lu-Wang, respectively. As a corollary, we obtain a PBW type basis for affine quantum groups of type AI.
Cite
@article{arxiv.2308.12484,
title = {Isomorphism between twisted $q$-Yangians and affine $\imath$quantum groups: type AI},
author = {Kang Lu},
journal= {arXiv preprint arXiv:2308.12484},
year = {2025}
}
Comments
24 pages; v2 fixed typos and updated references