Transposed Poisson structures on Witt type algebras
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Publication:2693708
DOI10.1016/j.laa.2023.02.003OpenAlexW4319874798MaRDI QIDQ2693708
Mykola Khrypchenko, I. B. Kaĭgorodov
Publication date: 24 March 2023
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2210.00217
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 (6)
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
Cites Work
- Erratum to ``On \(\delta\)-derivations of Lie algebras and superalgebras
- Lie-admissible structures on Witt type algebras
- On \(\delta\)-derivations of Lie algebras
- \(\frac12\)-derivations of Lie algebras and transposed Poisson algebras
- Transposed Poisson structures on Block Lie algebras and superalgebras
- Poisson algebras and symmetric Leibniz bialgebra structures on oscillator Lie algebras
- Poisson structures for canonical algebras
- Quiver Poisson algebras
- \(\delta\)-superderivations of semisimple finite-dimensional Jordan superalgebras
- Poisson structures on finitary incidence algebras
- Transposed Poisson structures on Galilean and solvable Lie algebras
- Algébre de lie de type witt
- Derivations, isomorphisms, and second cohomology of generalized Witt algebras
- Classification of simple Lie algebras on a lattice
- Transposed BiHom-Poisson algebras
- Transposed Poisson algebras, Novikov-Poisson algebras and 3-Lie algebras
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