Combinatorial Formulae for Nested Bethe Vectors

Vitaly Tarasov; Alexander Varchenko

doi:10.3842/sigma.2013.048

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Combinatorial Formulae for Nested Bethe Vectors

Vitaly Tarasov·Alexander Varchenko

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Abstract

We give combinatorial formulae for vector-valued weight functions (off-shell nested Bethe vectors) for tensor products of irreducible evaluation modules over the Yangian $Y({\mathfrak{gl}}_N)$ and the quantum affine algebra $U_q(\widetilde{\mathfrak{gl}_N})$. The results of the paper were obtained in 1998 and were used in math.QA/9905137, math.QA/0302148, math.QA/0610517.

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Vitaly Tarasov, Alexander Varchenko. 2013-07-19. Combinatorial Formulae for Nested Bethe Vectors. https://doi.org/10.3842/sigma.2013.048

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