On Jordan algebras and some unification results
Abstract
This paper is based on a talk given at the 14-th International Workshop on Differential Geometry and Its Applications, hosted by the Petroleum Gas University from Ploiesti, between July 9-th and July 11-th, 2019. After presenting some historical facts, we will consider some geometry problems related to unification approaches. Jordan algebras and Lie algebras are the main non-associative structures. Attempts to unify non-associative algebras and associative algebras led to UJLA structures. Another algebraic structure which unifies non-associative algebras and associative algebras is the Yang-Baxter equation. We will review topics relared to the Yang-Baxter equation and Yang-Baxter systems, with the goal to unify constructions from Differential Geometry.
Keywords
Cite
@article{arxiv.2002.05345,
title = {On Jordan algebras and some unification results},
author = {Florin Felix Nichita},
journal= {arXiv preprint arXiv:2002.05345},
year = {2020}
}
Comments
13 pages