A Drinfeld type presentation of twisted Yangians
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.
Authors
- Weiqiang Wang (ORCID: https://orcid.org/0000-0002-1157-0370)
- Kang Lu
- Weinan Zhang (ORCID: https://orcid.org/0000-0001-5893-1543)
Institutions
- University of Virginia (US)
- University of Hong Kong (HK)
Publication Details
- Journal
- Representation Theory of the American Mathematical Society
- Published
- 2025-10-16
- DOI
- https://doi.org/10.1090/ert/702
- Citations
- 1
- Primary Topic
- Algebraic structures and combinatorial models
- Type
- article
- Field-Weighted Citation Impact
- 4.09
Funders
- National Science Foundation