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.
Acknowledgments
The author is thankful to the referee for careful reading of the paper and for a thoughtful suggestion regarding the notion of the σ-centre.
Disclosure statement
No potential conflict of interest was reported by the author(s).