Discrete, q-difference deformations of associative algebras and integrable systems
Exactly Solvable and Integrable Systems
2008-09-24 v1 Rings and Algebras
Abstract
Discrete and q-difference deformations of the structure constants for a class of associative noncommutative algebras are studied. It is shown that these deformations are governed by a central system of discrete or q-difference equations which in particular cases represent discrete and q-difference versions of the oriented associativity equation. It is demonstrated also that the celebrated Hirota-Miwa bilinear equation for the AKP and BKP hierarchies describes discrete deformations of certain finite-dimensional algebras.
Keywords
Cite
@article{arxiv.0809.1938,
title = {Discrete, q-difference deformations of associative algebras and integrable systems},
author = {B. G. Konopelchenko},
journal= {arXiv preprint arXiv:0809.1938},
year = {2008}
}
Comments
Talk given at the workshop SIDE8, June 22-28, 2008, Sainte-Adele, Canada