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math.QA2007★ 24 cited
Limits of Gaudin algebras, quantization of bending flows, Jucys--Murphy elements and Gelfand--Tsetlin bases
A. Chervov, G. Falqui, L. Rybnikov
Gaudin algebras form a family of maximal commutative subalgebras in the tensor product of copies of the universal enveloping algebra $U(\g)$ of a semisimple Lie algebra $\g$. T…
math.QA2007★ 20 cited
Manin matrices and Talalaev's formula
Alexander Chervov, Gregorio Falqui
We study special class of matrices with noncommutative entries and demonstrate their various applications in integrable systems theory. They appeared in Yu. Manin's works in 87-92…