On nonlinear Lie centralizers of generalized matrix algebras
Lei Liu
Abstract
The aim of the paper is to give a description of nonlinear Lie centralizers for a certain class of generalized matrix algebras. The result is then applied to some full matrix algebras and triangular algebras.
Topics & Concepts
MathematicsClass (philosophy)Triangular matrixPure mathematicsMatrix (chemical analysis)Algebra over a fieldLie algebraNonlinear systemLie conformal algebraNon-associative algebraInvertible matrixComputer scienceQuantum mechanicsPhysicsMaterials scienceComposite materialArtificial intelligenceAdvanced Topics in AlgebraMatrix Theory and AlgorithmsAlgebraic structures and combinatorial models