Generalized Derivations of Lie Superalgebras

DOI10.1080/00927870903236228zbMath1211.17006OpenAlexW2044930119MaRDI QIDQ3060831

Runxuan Zhang, Yongzheng Zhang

Publication date: 10 December 2010

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

Full work available at URL: https://doi.org/10.1080/00927870903236228

zbMATH Keywords

Generalized derivation superalgebraquasiderivation superalgebra

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40)

Related Items (24)

Superderivations of direct and semidirect sum of Lie superalgebras ⋮ Generalized derivations of Lie triple systems ⋮ Generalized derivations of Lie color algebras ⋮ On $(n+1)$-ary derivations of simple $n$-ary Mal′tsev algebras ⋮ Hom–Jordan algebras and their α^k-(a,b,c)-derivations ⋮ Generalized derivations, quasiderivations and centroids of Bihom-Lie triple system ⋮ Constructions and \(T^*\)-extensions of 3-BiHom-Lie superalgebras ⋮ On ID^∗-derivations of Filippov algebras ⋮ Ternary derivations of separable associative and Jordan algebras ⋮ On \((\lambda,\mu,\gamma)\)-derivations of BiHom-Lie algebras ⋮ Generalized Lie derivations on skew elements of prime algebras with involution. ⋮ Generalized derivations of multiplicative \(n\)-ary \(\Hom\text{-}\Omega\) color algebras ⋮ Generalized derivations of Hom-Lie triple systems ⋮ Some constructions of multiplicative \(n\)-ary Hom-Nambu algebras ⋮ A note on generalized derivations in Banach algebras ⋮ Some properties of m-isoclinism and ID^*-derivations in Filippov algebras ⋮ Generalized derivations and Rota-Baxter operators of \(n\)-ary Hom-Nambu superalgebras ⋮ Generalized derivations of (color)n-ary algebras ⋮ Quasiderivations and quasicentroids of Novikov algebras ⋮ Generalized derivations and centroids of ternary Jordan superalgebras ⋮ Generalized conformal derivations of Lie conformal algebras ⋮ Ternary derivations of Jordan superalgebras ⋮ \((n+1)\)-ary derivations of semisimple Filippov algebras ⋮ ON (α, β, γ)-DERIVATIONS OF LIE SUPERALGEBRAS

Cites Work

• The theory of Lie superalgebras. An introduction
• Some complete Lie superalgebras.
• Generalized derivations of Lie algebras
• Some results on complete Lie superalgebras
• Ternary derivations of finite-dimensional real division algebras
• Centroids of nilpotent lie algabras
• Ternary Derivations of Generalized Cayley–Dickson Algebras
• Lie superalgebras

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