Transposed Poisson structures on generalized Witt algebras and Block Lie algebras

DOI10.1007/s00025-023-01962-yarXiv2302.00403OpenAlexW4384407107MaRDI QIDQ6165269

I. B. Kaĭgorodov, Mykola Khrypchenko

Publication date: 31 July 2023

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2302.00403

zbMATH Keywords

generalized Witt algebra\(\delta\)-derivationtransposed Poisson algebraBlock Lie algebra

Mathematics Subject Classification ID

Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Poisson algebras (17B63) Nonassociative algebras satisfying other identities (17A30) Hom-Lie and related algebras (17B61)

Related Items (4)

Transposed Poisson structures ⋮ Transposed Poisson structures on solvable and perfect Lie algebras ⋮ Transposed Poisson structures on Lie incidence algebras ⋮ Transposed Poisson structures on the Lie algebra of upper triangular matrices

Cites Work

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• Structure of a Class of Lie Algebras of Block Type
• On Torsion-Free Abelian Groups and Lie Algebras
• Algébre de lie de type witt
• Derivations, isomorphisms, and second cohomology of generalized Witt algebras
• Transposed BiHom-Poisson algebras
• -(bi)derivations and transposed Poisson algebra structures on Lie algebras
• Hom-Leibniz bialgebras and BiHom-Leibniz dendriform algebras
• Transposed Poisson algebras, Novikov-Poisson algebras and 3-Lie algebras

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