Transposed Poisson structures on solvable and perfect Lie algebras

DOI10.1088/1751-8121/ad1620arXiv2310.00624MaRDI QIDQ6184823

A. Kh. Khudoyberdiyev, I. B. Kaĭgorodov

Publication date: 29 January 2024

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2310.00624

zbMATH Keywords

Lie algebra\(\delta\)-derivationtransposed Poisson algebra

Mathematics Subject Classification ID

Poisson algebras (17B63)

Cites Work

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• Erratum to ``On \(\delta\)-derivations of Lie algebras and superalgebras
• Solutions of the Yang-Baxter equations on quadratic Lie groups: the case of oscillator groups
• Groupes de Lie munis de métriques bi-invariantes. (Lie groups admitting bi-invariant metrics)
• On the identification of a Lie algebra given by its structure constants. I: Direct decompositions, Levi decompositions, and nilradicals
• \(\frac12\)-derivations of Lie algebras and transposed Poisson algebras
• Transposed Poisson structures on Block Lie algebras and superalgebras
• Racah problems for the oscillator algebra, the Lie algebra \(\mathfrak{sl}_n\), and multivariate Krawtchouk polynomials
• Poisson algebras and symmetric Leibniz bialgebra structures on oscillator Lie algebras
• Poisson structures for canonical algebras
• Some remarks on the oscillator group
• Quiver Poisson algebras
• On the symmetries of the Lorentzian oscillator group
• Poisson structures on finitary incidence algebras
• The algebraic and geometric classification of transposed Poisson algebras
• Transposed Poisson structures on Witt type algebras
• Transposed Poisson structures on Galilean and solvable Lie algebras
• Lie symmetries of a generalised nonlinear Schrodinger equation: I. The symmetry group and its subgroups
• Partially invariant solutions of a class of nonlinear Schrodinger equations
• Lie bialgebra quantizations of the oscillator algebra and their universalR-matrices
• A class of solvable Lie algebras and their Casimir invariants
• Solvable Lie algebras with Heisenberg ideals
• Solvable Lie algebras with Abelian nilradicals
• On Some Unitary Representations of the Galilei Group I. Irreducible Representations
• Galilei Group and Nonrelativistic Quantum Mechanics
• -(bi)derivations and transposed Poisson algebra structures on Lie algebras
• Transposed Poisson algebras, Novikov-Poisson algebras and 3-Lie algebras
• Transposed Poisson structures on generalized Witt algebras and Block Lie algebras
• On the simple transposed Poisson algebras and Jordan superalgebras

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