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- W2064459167 abstract "A linear map ϕ on a Lie algebra L is called a Lie triple derivation if ϕ([x, [y, z]]) = [ϕ(x), [y, z]] + [x, [ϕ(y), z]] + [x, [ y, ϕ(z)]] for all x, y, z ∈ L. Let be a finite-dimensional simple Lie algebra of rank l over an algebraically closed field F of characteristic zero, and an arbitrary parabolic subalgebra of . It is shown in this note that a linear map ϕ on is a Lie triple derivation if and only if it is an inner derivation, which generalizes the main result of Tolpygo [A.K. Tolpygo, On chomology of parabolic Lie algebras, Math. Notes 12 (1973), pp. 585–587] saying that every derivation of is inner derivation." @default.
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- W2064459167 date "2011-08-01" @default.
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- W2064459167 title "Lie triple derivations on the parabolic subalgebras of simple Lie algebras" @default.
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- W2064459167 doi "https://doi.org/10.1080/03081087.2010.499538" @default.
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