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dc.contributor.authorLychagin, Valentin V.
dc.contributor.authorJakobsen, Per K.
dc.date.accessioned2009-08-27T13:34:06Z
dc.date.available2009-08-27T13:34:06Z
dc.date.issued1997-12-17
dc.description.abstractWe introduce the notion of difference equation defined on a structured set. The symmetry group of the structure determines the set of difference operators. All main notions in the theory of difference equations are introduced as invariants of the action of the symmetry group. Linear equations are modules over the skew group algebra, solutions are morphisms relating a given equation to other equations, symmetries of an equation are module endomorphisms and conserved structures are invariants in the tensor algebra of the given equation. We show that the equations and their solutions can be described through representations of the isotropy group of the symmetry group of the underlying set. We relate our notion of difference equation and solutions to systems of classical difference equations and their solutions and show that out notions incluse these as a special case.en
dc.descriptionThis is the author’s final accepted manuscripten
dc.format.extent313781 bytes
dc.format.mimetypeapplication/pdf
dc.identifier.citationActa Applicandae Mathematicaeen
dc.identifier.issn0167-8019
dc.identifier.urihttps://hdl.handle.net/10037/2058
dc.identifier.urnURN:NBN:no-uit_munin_1810
dc.language.isoengen
dc.publisherSpringeren
dc.rights.accessRightsopenAccess
dc.subjectVDP::Mathematics and natural science: 400::Mathematics: 410::Algebra/algebraic analysis: 414en
dc.subjectfinite difference equationsen
dc.subjectmodulesen
dc.subjectmorphismsen
dc.subjectcategoriesen
dc.titleTheory of linear G-difference equationsen
dc.typeJournal articleen
dc.typeTidsskriftartikkelen
dc.typePeer revieweden


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