Geodesic
Combinatorial Formulae for Nested Bethe Vectors
Symmetry, integrability and geometry: methods and applications, Tome 9 (2013) Cet article a éte moissonné depuis la source Math-Net.Ru

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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 $U_q(\widetilde{{\mathfrak{gl}}_N})$.
Keywords: weight functions; nested Bethe vectors; algebraic Bethe ansatz. 
@article{SIGMA_2013_9_a47,
     author = {Vitaly Tarasov and Alexander Varchenko},
     title = {Combinatorial {Formulae} for {Nested} {Bethe} {Vectors}},
     journal = {Symmetry, integrability and geometry: methods and applications},
     year = {2013},
     volume = {9},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2013_9_a47/}
}
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Vitaly Tarasov; Alexander Varchenko. Combinatorial Formulae for Nested Bethe Vectors. Symmetry, integrability and geometry: methods and applications, Tome 9 (2013). http://geodesic.mathdoc.fr/item/SIGMA_2013_9_a47/

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