On differential invariants of integrable finite type linear differential equations (Q1114832)

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scientific article; zbMATH DE number 4086076
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On differential invariants of integrable finite type linear differential equations
scientific article; zbMATH DE number 4086076

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    On differential invariants of integrable finite type linear differential equations (English)
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    1988
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    A linear differential equation given by a triple \({\mathcal R}=(M,E,R^ n)\), where M is a manifold and E is a vector bundle over M and \(R^ n\) is a subbundle of the nth jet bundle of E is considered. By the means of the Cartan's method a Cartan connection in the principle bundle and a complete system of differential invariants associated with each linear differential equation are constructed.
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    vector bundle
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    jet bundle
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    Cartan's method
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    Cartan connection
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    differential invariants
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