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arxiv: 1303.4295 · v1 · pith:CWTMYBXPnew · submitted 2013-03-18 · 🧮 math.DS

On integrable generalizations of the pentagram map

classification 🧮 math.DS
keywords pentagramallowscertaincitedefineddefinitionestablishgeneralization
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In this paper we prove that the generalization to $\mathbb{RP}^n$ of the pentagram map defined in \cite{KS} is invariant under certain scalings for any $n$. This property allows the definition of a Lax representation for the map, to be used to establish its integrability.

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