Poisson derivations and the first Poisson cohomology group on trivial extension algebras

DOI10.1007/s41980-018-00201-3zbMath1423.17023OpenAlexW2915710275MaRDI QIDQ2330384

Can Zhu, Yaofei Li, Houlang Li

Publication date: 22 October 2019

Published in: Bulletin of the Iranian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41980-018-00201-3

zbMATH Keywords

trivial extensionPoisson algebrafirst Poisson cohomology groupHamiltonian derivationPoisson derivation

Mathematics Subject Classification ID

Poisson algebras (17B63) Automorphisms, derivations, other operators (nonassociative rings and algebras) (17A36) Other algebras built from modules (15A78)

Related Items (4)

Poisson cohomology of trivial extension algebras ⋮ Poisson structures on trivial extension algebras ⋮ First cohomology of the Lie algebra of vector fields on the affine real line relative to affine vector fields with coefficients in bilinear differential operators on weighted densities ⋮ On split regular BiHom-Poisson color algebras

Cites Work

• Jordan derivations on trivial extensions
• Poisson (co)homology of truncated polynomial algebras in two variables
• Representation-finite trivial extension algebras
• Hochschild cohomology of triangular matrix algebras
• Derivations and the first cohomology group of trivial extension algebras
• Deformation quantization of Poisson manifolds
• Lie derivations on trivial extension algebras
• Singular Equivalences of Trivial Extensions
• On (co)homology of Frobenius Poisson algebras
• Poisson enveloping algebras
• COHOMOLOGY OF SPLIT ALGEBRAS AND OF TRIVIAL EXTENSIONS This work has been supported by the projects SECYT-ECOS A98E05 and SECYT-CAPES BR1299OG. The first author wishes to thank FAPESP (Brazil) for financial support. The second author has a research scholarship from Cnpq (Brazil). The third and fourth authors are research members of CONICET (Argentina).
• MORPHIC RINGS AS TRIVIAL EXTENSIONS
• The Hochschild Cohomology Ring of a One Point Extension
• Cluster-tilted algebras as trivial extensions
• Automorphism groups of trivial extensions.
• Hochschild cohomology of relation extension algebras

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