Non-associative algebras, Yang-Baxter equations and quantum computers
Differential Geometry
2014-08-19 v1
Abstract
Non-associtive algebras is a research direction gaining much attention these days. New developments show that associative algebras and some not-associative structures can be unified at the level of Yang-Baxter structures. In this paper, we present a unification for associative algebras, Jordan algebras and Lie algebras. The (quantum) Yang-Baxter equation and related structures are interesting topics, because they have applications in many areas of mathematics, physics and computer science. Several new interpretations and results are presented below.
Cite
@article{arxiv.1408.3759,
title = {Non-associative algebras, Yang-Baxter equations and quantum computers},
author = {Radu Iordanescu and Florin F. Nichita and Ion M. Nichita},
journal= {arXiv preprint arXiv:1408.3759},
year = {2014}
}
Comments
7 pages