\(\delta\)-superderivations of semisimple finite-dimensional Jordan superalgebras

DOI10.1134/S0001434612010208zbMath1376.17043arXiv1106.2680MaRDI QIDQ2435928

I. B. Kaĭgorodov

Publication date: 21 February 2014

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

Full work available at URL: https://arxiv.org/abs/1106.2680

zbMATH Keywords

\(\delta\)-derivation\(\delta\)-superderivationsemisimple Jordan superalgebra

Mathematics Subject Classification ID

Simple, semisimple Jordan algebras (17C20) Super structures (17C70) Automorphisms, derivations, other operators (nonassociative rings and algebras) (17A36)

Related Items (15)

The structure of simple noncommutative Jordan superalgebras ⋮ Transposed Poisson structures ⋮ On (reverse) \((\alpha,\beta,\gamma)\)-derivations of associative algebras ⋮ Transposed Poisson structures on Witt type algebras ⋮ Transposed Poisson structures on Galilean and solvable Lie algebras ⋮ Generalized derivations of multiplicative \(n\)-ary \(\Hom\text{-}\Omega\) color algebras ⋮ Conservative algebras of 2-dimensional algebras ⋮ δ-DERIVATIONS OF SEMISIMPLE FINITE-DIMENSIONAL STRUCTURABLE ALGEBRAS ⋮ Degenerations of Jordan superalgebras ⋮ \(n\)-ary generalized Lie-type color algebras admitting a quasi-multiplicative basis ⋮ Generalized derivations of (color)n-ary algebras ⋮ \(\frac12\)-derivations of Lie algebras and transposed Poisson algebras ⋮ Transposed Poisson structures on Block Lie algebras and superalgebras ⋮ Ternary derivations of Jordan superalgebras ⋮ \((n+1)\)-ary derivations of semisimple Filippov algebras

Cites Work

• Erratum to ``On \(\delta\)-derivations of Lie algebras and superalgebras
• Simple Jordan superalgebras with semisimple even part.
• \(\delta\)-derivations of prime Lie algebras
• On \(\delta\)-derivations of Lie algebras
• δ-Derivations of simple finite-dimensional Jordan superalgebras
• Classification of simple z-graded lie superalgebras and simple jordan superalgebras
• δ-derivations of classical Lie superalgebras
• Simple finite-dimensional Jordan superalgebras of prime characteristic
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