Displaying similar documents to “Derivations on the restricted Nijenhuis-Schouten bracket algebra”

Generalized derivations of Lie triple systems

Jia Zhou, Liangyun Chen, Yao Ma (2016)

Open Mathematics

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In this paper, we present some basic properties concerning the derivation algebra Der (T), the quasiderivation algebra QDer (T) and the generalized derivation algebra GDer (T) of a Lie triple system T, with the relationship Der (T) ⊆ QDer (T) ⊆ GDer (T) ⊆ End (T). Furthermore, we completely determine those Lie triple systems T with condition QDer (T) = End (T). We also show that the quasiderivations of T can be embedded as derivations in a larger Lie triple system.