An introduction to associative geometry with applications to integrable systems
Mathematical Physics
2017-06-28 v1 math.MP
Abstract
The aim of these notes is to provide a reasonably short and "hands-on" introduction to the differential calculus on associative algebras over a field of characteristic zero. Following a suggestion of Ginzburg's we call the resulting theory associative geometry. We argue that this formalism sheds a new light on some classic solution methods in the theory of finite-dimensional integrable dynamical systems.
Cite
@article{arxiv.1611.00644,
title = {An introduction to associative geometry with applications to integrable systems},
author = {Alberto Tacchella},
journal= {arXiv preprint arXiv:1611.00644},
year = {2017}
}
Comments
Review article, 45 pages. To appear in Journal of Geometry and Physics