The Differential and Functional Equations for a Lie Group Homomorphism are Equivalent

2009/12/22 by George Svetlichny, Svetlichny, George
Mathematics · #22-xx #FOS: Mathematics #Group Theory (math.GR) #math.GR #msc:22-xx

paper · pdf · doi:10.48550/arxiv.0912.4476

3 pages

arxiv created 2009/12/22 · arxiv updated 2010/01/14

Abstract

I prove the "folklore" result that the functional equation for a Lie group homomorphism can be solved by solving the corresponding differential equation.

Related

• Linear Representation of Lie Group
• Notes on Lie symmetry group methods for differential equations
• Lie Transformation Groups -- An Introduction to Symmetry Group Analysis\n of Differential Equations
• Homomorphisms from Functional Equations: The Goldie Equation
• Application of Lie group analysis to functional differential equations