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https://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: | https://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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