Please use this identifier to cite or link to this item: http://hdl.handle.net/10316/43819
Title: The structure of split regular BiHom-Lie algebras
Authors: Calderón, Antonio J. 
Sánchez, José M. 
Issue Date: 2016
Publisher: Elsevier
Project: info:eu-repo/grantAgreement/FCT/5876/147205/PT 
Serial title, monograph or event: Journal of Geometry and Physics
Volume: 110
Abstract: We introduce the class of split regular BiHom-Lie algebras as the natural extension of the one of split Hom-Lie algebras and so of split Lie algebras. We show that an arbitrary split regular BiHom-Lie algebra L is of the form L = U +∑_j I_j with U a linear subspace of a fixed maximal abelian subalgebra H and any I_j a well described (split) ideal of L, satisfying [I_j ; I_k] = 0 if j ≠ k. Under certain conditions, the simplicity of L is characterized and it is shown that L is the direct sum of the family of its simple ideals.
URI: http://hdl.handle.net/10316/43819
DOI: 10.1016/j.geomphys.2016.08.004
10.1016/j.geomphys.2016.08.004
Rights: embargoedAccess
Appears in Collections:I&D CMUC - Artigos em Revistas Internacionais

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