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On representations of real Nash groups - MaRDI portal

On representations of real Nash groups (Q455012)

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scientific article; zbMATH DE number 6090098
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On representations of real Nash groups
scientific article; zbMATH DE number 6090098

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    On representations of real Nash groups (English)
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    2 October 2012
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    The paper studies some basic properties of Nash groups related to their Nash representations. The starting point is a Nash version of the Peter-Weil Theorem, that the representative Nash functions on a compact affine Nash group \(G\) are dense in the strong topology in the set of all continuous function on \(G\). This implies the existence of a faithful Nash representation. Thereafter the author considers existence and uniqueness structures in Nash transformation groups.
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    representation theory
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    equivariant Nash conjecture
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