On the simple transposed Poisson algebras and Jordan superalgebras

DOI10.1016/j.jalgebra.2023.11.026arXiv2305.13848MaRDI QIDQ6187304

Amir Fernández Ouaridi

Publication date: 15 January 2024

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

Full work available at URL: https://arxiv.org/abs/2305.13848

zbMATH Keywords

Lie algebraJordan superalgebraPoisson algebratransposed Poisson algebra

Mathematics Subject Classification ID

Superalgebras (17A70) Poisson algebras (17B63) Automorphisms, derivations, other operators (nonassociative rings and algebras) (17A36)

Related Items (3)

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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• Classification of simple z-graded lie superalgebras and simple jordan superalgebras
• The kantor doubling process revisited
• Novikov–Poisson Algebras and Superalgebras of Jordan Brackets
• Transposed Poisson algebras, Novikov-Poisson algebras and 3-Lie algebras

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