Rational Lax Matrices from Antidominantly Shifted Extended Yangians: BCD Types
Abstract
Generalizing Frassek et al. (Adv. Math. 401, 108283 (2022). https://doi.org/10.1016/j.aim.2022.108283), we construct a family of SO(2r), Sp(2r), SO(2r+1) rational Lax matrices TD(z), polynomial in the spectral parameter z, parametrized by Λ+-valued divisors D on P1. To this end, we provide the RTT realization of the antidominantly shifted extended Drinfeld Yangians of g=so2r,sp2r,so2r+1, and of their coproduct homomorphisms.
- Publication:
-
Communications in Mathematical Physics
- Pub Date:
- June 2022
- DOI:
- arXiv:
- arXiv:2104.14518
- Bibcode:
- 2022CMaPh.392..545F
- Keywords:
-
- Mathematics - Representation Theory;
- Mathematical Physics;
- Nonlinear Sciences - Exactly Solvable and Integrable Systems
- E-Print:
- v3: 67 pages, minor corrections, details added. v2: 65 pages, minor corrections, some details added, Remark 4.37 added. v1: 64 pages, comments are welcome!