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In mathematics, the theta correspondence or Howe correspondence is a mathematical relation between representations of two groups of a reductive dual pair. The local theta correspondence relates irreducible admissible representations over a local field, while the global theta correspondence relates irreducible automorphic representations over a global field. The theta correspondence was introduced by Roger Howe in . Its name arose due to its origin in André Weil's representation theoretical formulation of the theory of theta series in . The Shimura correspondence as constructed by Jean-Loup Waldspurger in and may be viewed as an instance of the theta correspondence. (en) Thetakorrespondensen eller Howekorrespondensen är inom matematiken en korrespondens mellan associerade till de två grupperna av ett . Den introducerades av. (sv) |
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Thetakorrespondensen eller Howekorrespondensen är inom matematiken en korrespondens mellan associerade till de två grupperna av ett . Den introducerades av. (sv) In mathematics, the theta correspondence or Howe correspondence is a mathematical relation between representations of two groups of a reductive dual pair. The local theta correspondence relates irreducible admissible representations over a local field, while the global theta correspondence relates irreducible automorphic representations over a global field. (en) |
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Theta correspondence (en) Thetakorrespondens (sv) |
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