Twisted Yangians of small rank
Quantum Algebra
2025-08-06 v2 Mathematical Physics
math.MP
Representation Theory
Abstract
We study quantized enveloping algebras called twisted Yangians associated with the symmetric pairs of types CI, BDI and DIII (in Cartan's classification) when the rank is small. We establish isomorphisms between these twisted Yangians and the well known Olshanskii's twisted Yangians of types AI and AII, and also with the Molev-Ragoucy reflection algebras associated with symmetric pairs of type AIII. We also construct isomorphisms with twisted Yangians in Drinfeld's original presentation.
Keywords
Cite
@article{arxiv.1602.01418,
title = {Twisted Yangians of small rank},
author = {Nicolas Guay and Vidas Regelskis and Curtis Wendlandt},
journal= {arXiv preprint arXiv:1602.01418},
year = {2025}
}
Comments
26 pages. Final version. Accepted to J. Math. Phys. arXiv admin note: text overlap with arXiv:1407.5247