Geodesic
Algebraic Bethe ansatz for $\mathfrak o_{2n+1}$-invariant integrable
Teoretičeskaâ i matematičeskaâ fizika, Tome 206 (2021) no. 1, pp. 23-46 Cet article a éte moissonné depuis la source Math-Net.Ru

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We study the class of $\mathfrak o_{2n+1}$-invariant quantum integrable models in the framework of the algebraic Bethe ansatz and propose a construction of the $\mathfrak o_{2n+1}$-invariant Bethe vector in terms of the Drinfeld currents for the Yangian double $\mathcal DY(\mathfrak o_{2n+1})$. We calculate the action of the monodromy matrix elements on the off-shell Bethe vectors for these models and obtain recurrence relations for these vectors. The action formulas can be used to investigate scalar products of Bethe vectors in $\mathfrak o_{2n+1}$-invariant models.
Keywords: algebraic Bethe ansatz, Yangian double of simple Lie algebra, Bethe vector. 
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A. N. Liashyk; S. Z. Pakuliak. Algebraic Bethe ansatz for $\mathfrak o_{2n+1}$-invariant integrable. Teoretičeskaâ i matematičeskaâ fizika, Tome 206 (2021) no. 1, pp. 23-46. http://geodesic.mathdoc.fr/item/TMF_2021_206_1_a1/

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