Derivations and Biderivations of the Schrödinger algebra in (<i>n</i> + 1)-dimensional space-time
Qingyan Wu, Xiaomin Tang
Abstract
In this paper, all derivations of the Schrödinger algebra in (n+1)-dimensional space-time of the Schrödinger Lie group are determined. As applications, all biderivations are obtained. Finally, as applications of biderivations, the linear commuting maps and commutative post-Lie algebra structures on this algebra are given.
Topics & Concepts
MathematicsAlgebra over a fieldUniversal enveloping algebraLie algebraPure mathematicsCommutative propertySpace (punctuation)Filtered algebraAlgebra representationSchrödinger's catMathematical physicsComputer scienceOperating systemAdvanced Topics in AlgebraAlgebraic structures and combinatorial modelsAdvanced Differential Geometry Research