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Invariant Prolongation and Detour Complexes

A. R. Gover

math.DGarXiv:math/0612629

Abstract

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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