49 citations · 78 across the 4 of their papers we have counts for
5 papers
Manin Matrices for Quadratic Algebras
Alexey Silantyev
We give a general definition of Manin matrices for arbitrary quadratic algebras in terms of idempotents. We establish their main properties and give their interpretation in terms o…
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…
Manin Matrices, Quantum Elliptic Commutative Families and Characteristic Polynomial of Elliptic Gaudin Model
Vladimir Rubtsov, Alexey Silantyev, Dmitri Talalaev
In this paper we construct the quantum spectral curve for the quantum dynamical elliptic gl(n) Gaudin model. We realize it considering a commutative family corresponding to the Fel…
SOS model partition function and the elliptic weight functions
S. Pakuliak, V. Rubtsov, A. Silantyev
We generalize a recent observation [arXiv:math/0610433] that the partition function of the 6-vertex model with domain-wall boundary conditions can be obtained by computing the proj…
On the universal weight function for the quantum affine algebra U_q(\hat{\mathfrak{gl}}_N)
A. Oskin, S. Pakuliak, A. Silantyev
We continue investigation of the universal weight function for the quantum affine algebra started in arXiv:math/0610517 and arXiv:0711.2819. We obtain…