Classifying Two-dimensional Hyporeductive Triple Algebras
A. Nourou Issa
TL;DR
This paper classifies two-dimensional real hyporeductive triple algebras, providing a comprehensive understanding of their structure and related algebraic systems like Lie triple systems and Bol algebras.
Contribution
It offers the first complete classification of two-dimensional real hyporeductive triple algebras and their connections to other algebraic structures.
Findings
Classification of two-dimensional real hyporeductive triple algebras
Classification of two-dimensional real Lie triple algebras
Classification of two-dimensional real Bol algebras
Abstract
Two-dimensional real hyporeductive triple algebras (h.t.a.) are investigated. A classification of such algebras is presented. As a consequence, a classification of two-dimensional real Lie triple algebras (i.e. generalized Lie triple systems) and two-dimensional real Bol algebras is given.
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