Invariant Prolongation and Detour Complexes

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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''.
* Proceedings of the 2006 IMA Summer Program: Symmetries and Overdetermined Systems of Partial Differential Equations. To appear in: IMA Volumes in Mathematics and its Applications

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