On the universal weight function for the quantum affine algebra U_q(\hat{\mathfrak{gl}}_N)

Abstract

We continue investigation of the universal weight function for the quantum affine algebra $U_q({\widehat{\mathfrak{gl}}}_N)$ started in arXiv:math/0610517 and arXiv:0711.2819. We obtain two recurrence relations for the universal weight function applying the method of projections developed in arXiv:math/0610398. On the level of the evaluation representation of $U_q({\widehat{\mathfrak{gl}}}_N)$ we reproduce both recurrence relations for the off-shell Bethe vectors calculated in arXiv:math/0702277 using combinatorial methods.

35 pages, typos corrected

References in corpus (3)

• Parabolic presentations of the Yangian Y(gl_n)
• Combinatorial Formulae for Nested Bethe Vectors
• A computation of an universal weight function for the quantum affine algebra U_q(\hat{\mathfrak{gl}}_N)

Cited by in corpus (8)

• Nested Bethe ansatz for "all" closed spin chains
• Bethe vectors of GL(3)-invariant integrable models
• Combinatorial Formulae for Nested Bethe Vectors
• Bethe Vectors of Quantum Integrable Models with GL(3) Trigonometric $R$-Matrix
• Bethe Ansatz for the Universal Weight Function
• Bethe Ansatz and Bethe Vectors Scalar Products
• A computation of an universal weight function for the quantum affine algebra U_q(\hat{\mathfrak{gl}}_N)
• Generating Series for Nested Bethe Vectors