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Invariant Prolongation and Detour Complexes

2006/12/21 by A. Rod Gover, Gover, A. R.
Mathematics · Physics and Astronomy · #17B66 #35N05 #53A30 #53A55 #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.math/0612629

openalex publication_date 2006/12/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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