Tarasov, Vitaly; Varchenko, Alexander Combinatorial formulae for nested Bethe vectors. (English) Zbl 1288.82024 SIGMA, Symmetry Integrability Geom. Methods Appl. 9, Paper 048, 28 p. (2013). Summary: 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 \(U_q(\widetilde{{\mathfrak{gl}}_N})\). Cited in 2 ReviewsCited in 19 Documents MSC: 82B23 Exactly solvable models; Bethe ansatz 17B80 Applications of Lie algebras and superalgebras to integrable systems 17B37 Quantum groups (quantized enveloping algebras) and related deformations 81R50 Quantum groups and related algebraic methods applied to problems in quantum theory Keywords:weight functions; nested Bethe vectors; algebraic Bethe ansatz PDFBibTeX XMLCite \textit{V. Tarasov} and \textit{A. Varchenko}, SIGMA, Symmetry Integrability Geom. Methods Appl. 9, Paper 048, 28 p. (2013; Zbl 1288.82024) Full Text: DOI arXiv EMIS