Work

A Drinfeld type presentation of twisted Yangians

Year: 2025

Type: article

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.

Source: Representation Theory of the American Mathematical Society

DOI: 10.1090/ert/702

Authors: Kang Lu, Weiqiang Wang, Weinan Zhang

Institutions: University of Virginia, University of Hong Kong

Language: English

Topic: Algebraic structures and combinatorial models

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Funders: National Science Foundation, University of Hong Kong

Awards: Quantum Symmetric Pairs, Categorification, and Geometry, Quantum Groups, W-algebras, and Brauer-Kauffmann Categories