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mathematical analysis > functional analysis > transformation > harmonic analysis > Peter-Weyl theorem
algebra > group theory > topological group > compact group > Peter-Weyl theorem
algebra > representation theory > group representation > unitary representation > Peter-Weyl theorem

Terme préférentiel

Peter-Weyl theorem  

Définition(s)

  • In mathematics, the Peter–Weyl theorem is a basic result in the theory of harmonic analysis, applying to topological groups that are compact, but are not necessarily abelian. It was initially proved by Hermann Weyl, with his student Fritz Peter, in the setting of a compact topological group G (Peter & Weyl 1927). The theorem is a collection of results generalizing the significant facts about the decomposition of the regular representation of any finite group, as discovered by Ferdinand Georg Frobenius and Issai Schur.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Peter%E2%80%93Weyl_theorem)

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http://data.loterre.fr/ark:/67375/PSR-ZNHR4XFX-M

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RDF/XML TURTLE JSON-LD Date de création 30/08/2023, dernière modif. 30/08/2023