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UASLP-CA-228
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funding vehicle for: Principal derivations and codimension one ideals in contact and Frobenius Lie algebras

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RDF description of Principal derivations and codimension one ideals in contact and Frobenius Lie algebras - http://orbis.uaslp.mx/vivo/individual/scopus6001
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date: 2026-08-27T07:13:47
publisher: vivo
type: Document

Article
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Communications in Algebra
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publication venue for: Principal derivations and codimension one ideals in contact and Frobenius Lie algebras
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Consejo Nacional de Ciencia y Tecnología, CONACYT: A1-S-45886
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funding vehicle for: Principal derivations and codimension one ideals in contact and Frobenius Lie algebras

Principal derivations and codimension one ideals in contact and Frobenius Lie algebras
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e iscopus: 2-s2.0-85067582802
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abstract: The aim of this work is twofold. First, we give an inductive procedure to construct a Frobenius (resp. contact) Lie algebra from a contact (resp. Frobenius) Lie algebra. Second, we prove that all Frobenius Lie algebras can be constructed in this way, i.e., every Frobenius Lie algebra can be constructed as an extension of a contact Lie algebra by adding a distinguished element called principal derivation. Hence, classification of Frobenius Lie algebras will follow from classification of contact Lie algebras and every contact Lie algebra which admits a principal derivation is isomorphic to a subalgebra of slm As an example, we classify all 4-dimensional Frobenius Lie algebra. © 2019, © 2019 Taylor & Francis Group, LLC.
related by: authorship_38524
freetext keyword: Contact Lie algebras; Frobenius Lie algebras; principal derivations; principal element; symplectic Lie algebras
most specific type: Article
date time value: article date 6002
has funding vehicle: Consejo Nacional de Ciencia y Tecnología, CONACYT: A1-S-45886
type: Document
doi: 10.1080/00927872.2019.1623238
page start: 5380
origen: scopus
issue: 12
related by: authorship_38523
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most specific type: Document
type: Thing
estado: published
abstract: The aim of this work is twofold. First, we give an inductive procedure to construct a Frobenius (resp. contact) Lie algebra from a contact (resp. Frobenius) Lie algebra. Second, we prove that all Frobenius Lie algebras can be constructed in this way, i.e., every Frobenius Lie algebra can be constructed as an extension of a contact Lie algebra by adding a distinguished element called principal derivation. Hence, classification of Frobenius Lie algebras will follow from classification of contact Lie algebras and every contact Lie algebra which admits a principal derivation is isomorphic to a subalgebra of slm As an example, we classify all 4-dimensional Frobenius Lie algebra. © 2019, © 2019 Taylor %26 Francis Group, LLC.
volume: 47
has funding vehicle: UASLP-CA-228
related by: authorship_38522
crisid: 6002
has publication venue: Communications in Algebra
type: Article

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