%0 Journal Article
%T Differential invariants of the motion group actions
%A Boris Kruglikov
%A Valentin Lychagin
%J Mathematics
%D 2007
%I arXiv
%X Differential invariants of a (pseudo)group action can vary when restricted to invariant submanifolds (differential equations). The algebra is still governed by the Lie-Tresse theorem, but may change a lot. We describe in details the case of the motion group $O(n)\ltimes\R^n$ acting on the full (unconstraint) jet-space as well as on some invariant equations.
%U http://arxiv.org/abs/0712.3500v1