Novikov–Poisson Algebras and Superalgebras of Jordan Brackets

DOI10.1080/00927872.2012.758269zbMath1301.17004OpenAlexW2021814129MaRDI QIDQ5412073

A. S. Zakharov

Publication date: 25 April 2014

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

Full work available at URL: https://doi.org/10.1080/00927872.2012.758269

zbMATH Keywords

Jordan bracketNovikov-Poisson algebraKantor double

Mathematics Subject Classification ID

Superalgebras (17A70) Nonassociative algebras satisfying other identities (17A30)

Related Items (12)

On the Kantor product ⋮ Embedding of Jordan superalgebras into the superalgebras of Jordan brackets ⋮ Transposed Poisson structures ⋮ A class of generalized derivations ⋮ On the simple transposed Poisson algebras and Jordan superalgebras ⋮ On free Gelfand-Dorfman-Novikov-Poisson algebras and a PBW theorem ⋮ The superalgebras of Jordan brackets defined by the \(n\)-dimensional sphere ⋮ Embedding Novikov-Poisson algebras in Novikov-Poisson algebras of vector type ⋮ Algebras of Jordan brackets and generalized Poisson algebras ⋮ On finite dimensional simple Novikov superalgebras ⋮ Gelfand-Dorfman-Novikov-Poisson superalgebras and their envelopes ⋮ Speciality of Jordan superalgebras related to Novikov-Poisson algebras

Cites Work

• Unnamed Item
• On simple Novikov algebras and their irreducible modules
• Novikov-Poisson algebras
• Novikov-Poisson algebras and associative commutative derivation algebras
• The component groups of nilpotents in exceptional simple real lie algebras
• Simple novikov algebras with an idempotent
• The kantor doubling process revisited
• Classification of simple Novikov algebras and their irreducible modules of characteristic 0

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