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

Abstract

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.

References in corpus (6)

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Cited by in corpus (3)

• On the R-matrix realization of quantum loop algebras
• Algebraic Bethe ansatz for ${\mathfrak{o}}_{2n+1}$-invariant integrable models
• On the R-matrix realization of the quantum loop algebra. The case of $U_q(D_n^{(2)})$