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- Jacquet–Langlands_correspondence abstract "In mathematics, the Jacquet–Langlands correspondence is a correspondence between automorphic forms on GL2 and its twisted forms, proved by Jacquet and Langlands (1970, chapter 16) using the Selberg trace formula. It was one of the first examples of the Langlands philosophy that maps between L-groups should induce maps between automorphic representations. There are generalized versions of the Jacquet–Langlands correspondence relating automorphic representations of GLr(D) and GLdr(F), where D is a division algebra of degree d2 over the local or global field F.Suppose that G is an inner twist of the algebraic group GL2, in other words the multiplicative group of a quaternion algebra. The Jacquet–Langlands correspondence is bijection betweenAutomorphic representations of G of dimension greater than 1Cuspidal automorphic representations of GL2 that are square integrable (modulo the center) at each ramified place of G.Corresponding representations have the same local components at all unramified places of G.Rogawski (1983) and Deligne, Kazhdan & Vignéras (1984) extended the Jacquet–Langlands correspondence to division algebras of higher dimension.".
- Jacquet–Langlands_correspondence wikiPageID "20606232".
- Jacquet–Langlands_correspondence wikiPageRevisionID "569618743".
- Jacquet–Langlands_correspondence author1Link "Hervé Jacquet".
- Jacquet–Langlands_correspondence author2Link "Robert Langlands".
- Jacquet–Langlands_correspondence last "Jacquet".
- Jacquet–Langlands_correspondence last "Langlands".
- Jacquet–Langlands_correspondence loc "chapter 16".
- Jacquet–Langlands_correspondence year "1970".
- Jacquet–Langlands_correspondence subject Category:Automorphic_forms.
- Jacquet–Langlands_correspondence comment "In mathematics, the Jacquet–Langlands correspondence is a correspondence between automorphic forms on GL2 and its twisted forms, proved by Jacquet and Langlands (1970, chapter 16) using the Selberg trace formula. It was one of the first examples of the Langlands philosophy that maps between L-groups should induce maps between automorphic representations.".
- Jacquet–Langlands_correspondence label "Jacquet–Langlands correspondence".
- Jacquet–Langlands_correspondence sameAs Jacquet%E2%80%93Langlands_correspondence.
- Jacquet–Langlands_correspondence sameAs Q6121005.
- Jacquet–Langlands_correspondence sameAs Q6121005.
- Jacquet–Langlands_correspondence wasDerivedFrom Jacquet–Langlands_correspondence?oldid=569618743.