Transposed Poisson structures on Block Lie algebras and superalgebras

DOI10.1016/j.laa.2022.09.024OpenAlexW4297984607WikidataQ115344176 ScholiaQ115344176MaRDI QIDQ2093510

Mykola Khrypchenko, I. B. Kaĭgorodov

Publication date: 8 November 2022

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.00648

zbMATH Keywords

Lie algebraHom-Lie algebratransposed Poisson algebra\( \delta \)-derivation

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 (8)

Transposed Poisson algebras, Novikov-Poisson algebras and 3-Lie algebras ⋮ Transposed Poisson structures ⋮ Transposed Poisson structures on generalized Witt algebras and Block Lie algebras ⋮ 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 ⋮ Transposed Poisson structures on Witt type algebras ⋮ Transposed Poisson structures on Galilean and solvable Lie algebras

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