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

Mathematics – Differential Geometry

Scientific paper

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

Scientific paper

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.

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