-(bi)derivations and transposed Poisson algebra structures on Lie algebras

DOI10.1080/03081087.2021.2003287zbMath1528.17013OpenAlexW3216542513WikidataQ115298577 ScholiaQ115298577MaRDI QIDQ6039172

Lamei Yuan, Unnamed Author

Publication date: 3 May 2023

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

Full work available at URL: https://doi.org/10.1080/03081087.2021.2003287

zbMATH Keywords

transposed Poisson algebra\(\frac 12\)-derivation

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Poisson algebras (17B63) Hom-Lie and related algebras (17B61)

Related Items (8)

Transposed BiHom-Poisson algebras ⋮ The algebraic and geometric classification of transposed Poisson algebras ⋮ 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

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Erratum to ``On \(\delta\)-derivations of Lie algebras and superalgebras
• The Schrödinger-Virasoro algebra. Mathematical structure and dynamical Schrödinger symmetries. With a foreword by Malte Henkel
• From Poisson algebras to Gerstenhaber algebras
• The Schrödinger-Virasoro Lie group and algebra: representation theory and cohomological study
• Commutative 2-cocycles on Lie algebras
• Novikov-Poisson algebras
• Commuting maps: a survey.
• Classical \(r\)-matrices and compatible Poisson structures for Lax equations on Poisson algebras
• Deformation quantization of Poisson manifolds
• Poisson deformations of symplectic quotient singularities
• On generalized biderivations and related maps
• Schrödinger invariance and strongly anisotropic critical systems
• On vertex algebra representations of the Schrödinger-Virasoro Lie algebra
• \(\delta\)-derivations of prime Lie algebras
• On \(\delta\)-derivations of Lie algebras
• \(\frac12\)-derivations of Lie algebras and transposed Poisson algebras
• Centralizing mappings and derivations in prime rings
• Deformations of Lie algebras using \(\sigma\)-derivations
• Quiver Poisson algebras
• Classification of linearly compact simple Jordan and generalized Poisson superalgebras
• The cohomology structure of an associative ring
• Algebras with one operation including Poisson and other Lie-admissible algebras
• Poisson structures on finitary incidence algebras
• Biderivations and linear commuting maps on simple generalized Witt algebras over a field
• Biderivations And Linear Commuting Maps on the Schrödinger-Virasoro Lie Algebra
• Derivations in Prime Rings
• Poisson cohomology and quantization.
• Double Poisson algebras
• δ-Derivations of simple finite-dimensional Jordan superalgebras
• Noncommutative matrix jordan algebras, cayley-dickson algebras, and schafer's theorem¹
• Free generic Poisson fields and algebras
• Biderivations and commuting linear maps on Lie algebras
• Biderivations, linear commuting maps and commutative post-Lie algebra structures on W-algebras
• δ-derivations of classical Lie superalgebras
• Jacobi and Poisson algebras

This page was built for publication: -(bi)derivations and transposed Poisson algebra structures on Lie algebras