Formal reduction of linear difference systems (Q1366630)

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scientific article; zbMATH DE number 1060828
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Formal reduction of linear difference systems
scientific article; zbMATH DE number 1060828

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    Formal reduction of linear difference systems (English)
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    16 September 1997
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    The purpose of this paper is to give a reduction procedure for the construction of a Turrittin's canonical form associated with an invertible linear difference system. The nilpotent case is treated by methods of deformation of orbits under the adjoint representation of \(\text{GL}(n,\mathbb{C})\). We prove also a statement on uniqueness.
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    reduction
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    difference system
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    standard triple
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    canonical form
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