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- Q6121005 subject Q8280316.
- Q6121005 subject Q8851983.
- Q6121005 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, section 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.".
- Q6121005 wikiPageExternalLink ICM2006.2.
- Q6121005 wikiPageExternalLink books?id=tQHvAAAAMAAJ.
- Q6121005 wikiPageExternalLink 1077303004.
- Q6121005 wikiPageExternalLink book.
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- Q6121005 wikiPageWikiLink Q5312829.
- Q6121005 wikiPageWikiLink Q6456135.
- Q6121005 wikiPageWikiLink Q8280316.
- Q6121005 wikiPageWikiLink Q8851983.
- Q6121005 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, section 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.".
- Q6121005 label "Jacquet–Langlands correspondence".