Cheung, Wai-Shun Lie derivations of triangular algebras. (English) Zbl 1060.16033 Linear Multilinear Algebra 51, No. 3, 299-310 (2003). Under rather mild technical conditions it is shown that every Lie derivation of a triangular algebra is of standard form, i.e., it is a sum of a derivation and a map with range in the center. This result is applied to some special triangular algebras, for example to triangular matrix algebras and to nest algebras. Reviewer: M. Brešar (Maribor) Cited in 4 ReviewsCited in 125 Documents MSC: 16W25 Derivations, actions of Lie algebras 16W10 Rings with involution; Lie, Jordan and other nonassociative structures 16S50 Endomorphism rings; matrix rings 15A78 Other algebras built from modules 17A36 Automorphisms, derivations, other operators (nonassociative rings and algebras) 17B60 Lie (super)algebras associated with other structures (associative, Jordan, etc.) Keywords:Lie derivations; triangular matrix algebras; nest algebras PDFBibTeX XMLCite \textit{W.-S. Cheung}, Linear Multilinear Algebra 51, No. 3, 299--310 (2003; Zbl 1060.16033) Full Text: DOI