Discretization of Baker-Akhiezer Modules and Commuting Difference Operators in Several Discrete Variables
Mathematical Physics
2013-02-20 v1 Algebraic Geometry
math.MP
Quantum Algebra
Exactly Solvable and Integrable Systems
Abstract
We introduce the notion of discrete Baker-Akhiezer (DBA) modules, which are modules over the ring of difference operators, as a certain discretization of Baker-Akhiezer modules which are modules over the ring of differential operators. We use it to construct commuting difference operators with matrix coefficients in several discrete variables.
Cite
@article{arxiv.1302.4523,
title = {Discretization of Baker-Akhiezer Modules and Commuting Difference Operators in Several Discrete Variables},
author = {Andrey Mironov and Atsushi Nakayashiki},
journal= {arXiv preprint arXiv:1302.4523},
year = {2013}
}
Comments
23 pages