Classification of multiplicative simple BiHom-Lie algebras
Saadaoui Nejib
TL;DR
This paper classifies finite-dimensional multiplicative simple BiHom-Lie algebras, focusing on their structure via semisimple Lie algebras, and provides a complete classification for complex 3-dimensional cases.
Contribution
It offers a comprehensive classification of multiplicative simple BiHom-Lie algebras, especially in three dimensions, expanding understanding of their algebraic structure.
Findings
Complete classification of complex 3-dimensional multiplicative BiHom-Lie algebras
Connection established between BiHom-Lie algebras and semisimple Lie algebras
Structural insights into finite-dimensional multiplicative simple BiHom-Lie algebras
Abstract
In this paper, we classify flnite dimensional multiplicative simple BiHom-Lie algebras by investigating the corresponding semisimple Lie algebras and we give a complete classification of the complex 3-dimensional multiplicative BiHom-Lie algebras.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Finite Group Theory Research