Abstract

ABSTRACT Let be a triangular algebra and σ be an automorphism of . We consider the problem of describing the form of Lie σ-derivations of . In particular, we give sufficient conditions that every Lie σ-derivation d of is the sum , where Δ is a σ-derivation of and γ is a linear mapping from to its σ-centre that vanishes on . As an application, Lie σ-derivations of (block) upper triangular matrix algebras and nest algebras are determined.

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