150 citations · 531 across the 43 of their papers we have counts for
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Algebraic properties of Manin matrices II: q-analogues and integrable systems
A. Chervov, G. Falqui, V. Rubtsov +1
We study a natural q-analogue of a class of matrices with noncommutative entries, which were first considered by Yu. I. Manin in 1988 in relation with quantum group theory, (called…
Limits of Gaudin Systems: Classical and Quantum Cases
Alexander Chervov, Gregorio Falqui, Leonid Rybnikov
We consider the XXX homogeneous Gaudin system with sites, both in classical and the quantum case. In particular we show that a suitable limiting procedure for letting the poles…
Algebraic properties of Manin matrices 1
A. Chervov, G. Falqui, V. Rubtsov
We study a class of matrices with noncommutative entries, which were first considered by Yu. I. Manin in 1988 in relation with quantum group theory. They are defined as "noncommuta…
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…
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…