A computation of an universal weight function for the quantum affine algebra U_q(\hat{\mathfrak{gl}}_N)

Abstract

We compute an universal weight function (off-shell Bethe vectors) in any representation with a weight singular vector of the quantum affine algebra $U_q({\widehat{\mathfrak{gl}}}_N)$ applying the method of projections of Drinfeld currents developed in arXiv:math/0610398.

40 pages, typos corrected, reference added

References in corpus (4)

• Combinatorial Formulae for Nested Bethe Vectors
• Off-shell Bethe vectors and Drinfeld currents
• Quasi-Hopf algebras associated with sl(2) and complex curves
• On the universal weight function for the quantum affine algebra U_q(\hat{\mathfrak{gl}}_N)

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• Multiple Actions of the Monodromy Matrix in $\mathfrak{gl}(2|1)$-Invariant Integrable Models
• Bethe Ansatz for the Universal Weight Function
• Bethe Ansatz and Bethe Vectors Scalar Products
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• Nested Bethe ansatz for Y(gl(n)) open spin chains with diagonal boundary conditions
• On the universal weight function for the quantum affine algebra U_q(\hat{\mathfrak{gl}}_N)
• Gauss Coordinates vs Currents for the Yangian Doubles of the Classical Types
• Generating Series for Nested Bethe Vectors
• Bethe Vectors for Composite Models with $\mathfrak{gl}(2|1)$ and $\mathfrak{gl}(1|2)$ Supersymmetry
• Algebraic Bethe ansatz for ${\mathfrak{o}}_{2n+1}$-invariant integrable models
• Scalar products and norm of Bethe vectors in ${\mathfrak{o}}_{2n+1}$ invariant integrable models