A Drinfeld type presentation of twisted Yangians
Quantum Algebra
2025-10-24 v2 Mathematical Physics
math.MP
Representation Theory
Abstract
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 twisted Yangians of type AI), settling a longstanding open problem. We expect that this will open the door for finding current presentations for other twisted Yangians.
Keywords
Cite
@article{arxiv.2308.12254,
title = {A Drinfeld type presentation of twisted Yangians},
author = {Kang Lu and Weiqiang Wang and Weinan Zhang},
journal= {arXiv preprint arXiv:2308.12254},
year = {2025}
}
Comments
29 pages; v2: 31 pages