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

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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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          Author and article information

          Journal
          16 August 2014
          Article
          1408.3759

          http://arxiv.org/licenses/nonexclusive-distrib/1.0/

          Custom metadata
          17C05, 17C50, 16T15, 16T25, 17B01
          7 pages
          math.DG

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