Differential Invariants of SL(2) and SL(3)-ACTIONS on R^2

Abstract

The main purpose of this paper is calculation of differential invariants which arise from prolonged actions of two Lie groups SL(2) and SL(3) on the $n$th jet space of $R^2$. It is necessary to calculate $n$th prolonged infenitesimal generators of the action.

arXiv comment12 pages, accepted by "Mathematical Sciences" http://www.kiau.ac.ir/persian/faslnameha/JMS/Home.htm