Manin Matrices, Quantum Elliptic Commutative Families and Characteristic Polynomial of Elliptic Gaudin model.

link: http://arxiv.org/abs/0908.4064
Abstract

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 Felder's elliptic quantum group and taking the
appropriate limit. The approach of Manin matrices here suits well to the
problem of constructing the generation function of commuting elements which
plays an important role in SoV and Langlands concept.