Nijenhuis operators on Hom-Lie algebras

DOI10.1080/00927872.2021.1977942zbMath1503.17024OpenAlexW3206311950MaRDI QIDQ5037588

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Publication date: 1 March 2022

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2021.1977942

zbMATH Keywords

formal deformationHom-Lie algebraFrölicher-Nijenhuis bracketNijenhuis operatorHom-NS-Lie algebra

Mathematics Subject Classification ID

Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Graded Lie (super)algebras (17B70) Deformations of associative rings (16S80) Hom-Lie and related algebras (17B61)

Related Items (6)

Twisted Rota-Baxter operators on 3-Hom-Lie algebras ⋮ Relative Rota-Baxter operators on Hom-Lie triple systems ⋮ Cohomology and deformations of compatible Hom-Lie algebras ⋮ Nijenhuis operators on Leibniz algebras ⋮ Nijenhuis-operator on Hom-Lie conformal algebras ⋮ Unnamed Item

Cites Work

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• Hom-algebra structures
• On the deformation of rings and algebras
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• Twisted Rota–Baxter operators and Reynolds operators on Lie algebras and NS-Lie algebras
• The Hom–Yang–Baxter equation and Hom–Lie algebras
• Cohomology and deformations in graded Lie algebras

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