On the deformation theory of structure constants for associative algebras
Rings and Algebras
2009-05-12 v2 Exactly Solvable and Integrable Systems
Abstract
Algebraic scheme for constructing deformations of structure constants for associative algebras generated by a deformation driving algebras (DDAs) is discussed. An ideal of left divisors of zero plays a central role in this construction. Deformations of associative three-dimensional algebras with the DDA being a three-dimensional Lie algebra and their connection with integrable systems are studied.
Cite
@article{arxiv.0811.4725,
title = {On the deformation theory of structure constants for associative algebras},
author = {B. G. Konopelchenko},
journal= {arXiv preprint arXiv:0811.4725},
year = {2009}
}
Comments
minor corrections and references added