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About: Multiplicity-one theorem     Goto   Sponge   NotDistinct   Permalink

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Type: yago:WikicatAutomorphicFormsyago:WikicatTheoremsInNumberTheoryyago:WikicatTheoremsInRepresentationTheoryyago:Abstraction100002137yago:Communication100033020yago:Form106290637yago:LanguageUnit106284225yago:Message106598915yago:Part113809207yago:Proposition106750804yago:Relation100031921yago:Word106286395yago:Statement106722453yago:Theorem106752293 New Facet based on Instances of this Class

In the mathematical theory of automorphic representations, a multiplicity-one theorem is a result about the representation theory of an adelic reductive algebraic group. The multiplicity in question is the number of times a given abstract group representation is realised in a certain space, of square-integrable functions, given in a concrete way. A multiplicity one theorem may also refer to a result about the restriction of a representation of a group G to a subgroup H. In that context, the pair (G, H) is called a strong Gelfand pair.