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math-ph2026
Serre Relations in Yangian Doubles
A. Liashyk, S. Pakuliak, E. Ragoucy
Following the approach of B.~Enriquez~\cite{E} we exhibit the analytical properties of the products of the currents in the Yangian doubles restricted to the category of the highest…
math-ph2026
Bethe Vectors in Quantum Integrable Models with Classical Symmetries
A. Liashyk, S. Pakuliak, E. Ragoucy
The first goal of this paper is to give a precise and simple definition for off-shell Bethe vectors in a generic -invariant integrable model for , , …
math-ph2025
Scalar products and norm of Bethe vectors in invariant integrable models
A. Liashyk, S. Pakuliak, E. Ragoucy
We compute scalar products of off-shell Bethe vectors in models with symmetry. The scalar products are expressed as a sum over partitions of the Bethe parameter sets, th…