Embedding of Jordan superalgebras into the superalgebras of Jordan brackets

DOI10.1134/S003744662001005XzbMath1477.17099OpenAlexW3007892813MaRDI QIDQ2191340

Viktor Nikolaevich Zhelyabin

Publication date: 24 June 2020

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s003744662001005x

zbMATH Keywords

Poisson bracketdifferential algebraderivationcomposition algebraJordan superalgebraGrassmann algebrasuperalgebra of bilinear formassociative commutative superalgebrabracket of vector typeKantor doublesuperalgebra of Jordan bracket

Mathematics Subject Classification ID

Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Jordan structures associated with other structures (17C50) Super structures (17C70)

Related Items (1)

The superalgebras of Jordan brackets defined by the \(n\)-dimensional sphere

Cites Work

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• JORDAN SUPERALGEBRAS DEFINED BY BRACKETS
• Novikov-Poisson algebras and associative commutative derivation algebras
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• The kantor doubling process revisited
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• Simple finite-dimensional right-alternative superalgebras of Abelian type of characteristic zero

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