The structure of split regular Hom-Leibniz–Poisson color algebras

DOI10.1142/S1793557122500231zbMath1485.17010OpenAlexW3132380936WikidataQ123138525 ScholiaQ123138525MaRDI QIDQ5064367

Valiollah Khalili

Publication date: 15 March 2022

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793557122500231

zbMATH Keywords

structure theoryHom-Leibniz algebrasHom-Leibniz-Poisson superalgebrasHom-Poisson algebras

Mathematics Subject Classification ID

Color Lie (super)algebras (17B75) Poisson algebras (17B63) Leibniz algebras (17A32) Hom-Lie and related algebras (17B61)

Cites Work

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• \(q\)-deformation of the Virasoro algebra with central extension
• Hom-Lie algebras with symmetric invariant nondegenerate bilinear forms
• Modules over color Hom-Poisson algebras
• (Co)homology and universal central extension of Hom-Leibniz algebras
• Representations and cohomology of \(n\)-ary multiplicative Hom-Nambu-Lie algebras
• The structure of split regular BiHom-Leibniz color algebras
• Deformations of Lie algebras using \(\sigma\)-derivations
• HOM-LEIBNIZ SUPERALGEBRAS AND HOM-LEIBNIZ POISSON SUPERALGEBRAS
• On split regular Hom-Lie color algebras
• Hom-Lie Color Algebra Structures
• The structure of split regular Hom-Poisson algebras
• Constructions and Cohomology of Hom–Lie Color Algebras
• Generalized Lie algebras
• On split regular Hom-Leibniz algebras
• Quantum Deformations of the Heisenberg-Virasoro Algebra
• Universal central extension of direct limits of Hom-Lie algebras
• Noncommutative Leibniz–Poisson Algebras