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Lie triple derivations of general linear Lie algebras over a commutative ring. (Chinese. English summary) Zbl 1260.17015

Summary: We study the Lie triple derivations of general linear Lie algebras over a commutative ring. By constructing some special matrices and calculating, we obtain the forms of all Lie triple derivations of the general linear Lie algebras over an arbitrary commutative ring with identity, which generalize the notion of derivations to a more general case.

MSC:

17B40 Automorphisms, derivations, other operators for Lie algebras and super algebras
17B30 Solvable, nilpotent (super)algebras
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