MathematicsPhysics

Kang Lu, Weiqiang Wang, Weinan Zhang

2023.8.23Representation Theory

DOI: 10.1090/ert/702

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.

Citation format

LU, Kang; WANG, Weiqiang; ZHANG, Weinan. A drinfeld type presentation of twisted yangians [preprint]. arXiv, 2023. arXiv:2308.12254.