The Waring problem for matrix algebras, II
Matej Brešar, Peter Šemrl
Abstract
Abstract Let be a noncommutative polynomial of degree over an algebraically closed field of characteristic 0. If and are nonzero elements from such that , then every trace zero matrix over can be written as for some in the image of in .
Topics & Concepts
Noncommutative geometryMathematicsAlgebraically closed fieldTRACE (psycholinguistics)Zero (linguistics)Matrix (chemical analysis)Field (mathematics)Pure mathematicsPolynomialAlgebra over a fieldDegree (music)Image (mathematics)Mathematical analysisArtificial intelligenceComputer scienceMaterials sciencePhilosophyComposite materialPhysicsLinguisticsAcousticsAdvanced Topics in AlgebraFinite Group Theory ResearchMatrix Theory and Algorithms