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arXiv · 1408.3759

Non-associative algebras, Yang-Baxter equations and quantum computers

Radu Iordanescu·Florin F. Nichita·Ion M. Nichita
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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.

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Radu Iordanescu, Florin F. Nichita, Ion M. Nichita. 2014-08-16. Non-associative algebras, Yang-Baxter equations and quantum computers. https://arxiv.org/abs/1408.3759

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