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Gauss Coordinates vs Currents for the Yangian Doubles of the Classical Types
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Gauss Coordinates vs Currents for the Yangian Doubles of the Classical Types
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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.
Forward citations
Cited by 2 Pith papers
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Yangian Doubles and off-Shell Bethe Vectors
Off-shell Bethe vectors are constructed via Yangian double currents and verified to satisfy defining properties previously used for on-shell vectors in ggo-invariant models.
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Serre Relations in Yangian Doubles
Serre relations in Yangian doubles are reformulated as quadratic commutation relations between composed currents for classical Lie algebras.
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