Gauss Coordinates vs Currents for the Yangian Doubles of the Classical Types

Symmetry Integrability and Geometry-Methods and Applications

article

Andrii Liashyk¹  Stanislav Z. Pakuliak² 

[1] Skolkovo Institute of Science and Technology;Steklov Mathematical Institute of Russian Academy of Sciences

关键词: Yangians;    Gauss decomposition;    Drinfeld currents 2020 Mathematics Subject Classification 82B23;    81R12;    81R50;    17B80;   

DOI  :  10.3842/SIGMA.2020.120

来源: National Academy of Science of Ukraine

【 摘 要 】

We consider relations between Gauss coordinates of $T$-operators for the Yangian doubles of the classical types corresponding to the algebras $\mathfrak{g}$ of $A$, $B$, $C$ and $D$ series and the current generators of these algebras. These relations are important for the applications in the quantum integrable models related to $\mathfrak{g}$-invariant $R$-matrices and construction of the Bethe vectors in these models.

【 授权许可】

Unknown