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Bethe Vectors in Quantum Integrable Models with Classical Symmetries
82b23exactly-solvable-and-integrable-systemshigh-energy-physics-theorymathematical-physicsquantum-algebra
The first goal of this paper is to give a precise and simple definition for off-shell Bethe vectors in a generic $g$-invariant integrable model for $g=gl_n$, $o_{2n+1}$, $sp_{2n}$ and $o_{2n}$. We prove from our definition that the off-shell Bethe vectors indeed become on-shell when the Bethe equati
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