Work

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

Year: 2014

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1408.3759

Authors: Iordanescu, Radu, Nichita, Florin F., Nichita, Ion M.

Institutions: IMAR - Institutul de Matematică „Simion Stoilow” al Academiei Române, Romanian Academy

Language: English

Topic: Advanced Topics in Algebra

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W255078595

Cites: 12

Cited by: 4

Related to: 20