Invariant Prolongation and Detour Complexes

Mathematics – Differential Geometry

Scientific paper

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* Proceedings of the 2006 IMA Summer Program: Symmetries and Overdetermined Systems of Partial Differential Equations. To appe

Scientific paper

In these expository notes we draw together and develop the ideas behind some recent progress in two directions: the treatment of finite type partial differential operators by prolongation, and a class of differential complexes known as detour complexes. This elaborates on a lecture given at the IMA Summer Programme ``Symmetries and overdetermined systems of partial differential equations''.

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