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- Langlands_dual abstract "In representation theory, a branch of mathematics, the Langlands dual LG of a reductive algebraic group G (also called the L-group of G) is a group that controls the representation theory of G. If G is a group over a field k, LG is an extension of the absolute Galois group of k by a complex Lie group. There is also a variation called the Weil form of the L-group, where the Galois group is replaced by a Weil group. The Langlands dual group is also often referred to as an L-group; here the letter L indicates also the connection with the theory of L-functions, particularly the automorphic L-functions.The L-group is used heavily in the Langlands conjectures of Robert Langlands. It is used to make precise statements from ideas that automorphic forms are in a sense functorial in the group G, when k is a global field. It is not exactly G with respect to which automorphic forms and representations are functorial, but LG. This makes sense of numerous phenomena, such as 'lifting' of forms from one group to another larger one, and the general fact that certain groups that become isomorphic after field extensions have related automorphic representations.".
- Langlands_dual wikiPageExternalLink pspum332.
- Langlands_dual wikiPageExternalLink pspum332-ptIII-2.pdf.
- Langlands_dual wikiPageExternalLink weil1967.
- Langlands_dual wikiPageID "6789133".
- Langlands_dual wikiPageRevisionID "598493100".
- Langlands_dual hasPhotoCollection Langlands_dual.
- Langlands_dual subject Category:Automorphic_forms.
- Langlands_dual subject Category:Class_field_theory.
- Langlands_dual subject Category:Representation_theory_of_Lie_groups.
- Langlands_dual type Abstraction100002137.
- Langlands_dual type AutomorphicForms.
- Langlands_dual type Form106290637.
- Langlands_dual type LanguageUnit106284225.
- Langlands_dual type Part113809207.
- Langlands_dual type Relation100031921.
- Langlands_dual type Word106286395.
- Langlands_dual comment "In representation theory, a branch of mathematics, the Langlands dual LG of a reductive algebraic group G (also called the L-group of G) is a group that controls the representation theory of G. If G is a group over a field k, LG is an extension of the absolute Galois group of k by a complex Lie group. There is also a variation called the Weil form of the L-group, where the Galois group is replaced by a Weil group.".
- Langlands_dual label "Langlands dual".
- Langlands_dual sameAs 랭글랜즈_쌍대군.
- Langlands_dual sameAs m.0gp05h.
- Langlands_dual sameAs Q6486188.
- Langlands_dual sameAs Q6486188.
- Langlands_dual sameAs Langlands_dual.
- Langlands_dual wasDerivedFrom Langlands_dual?oldid=598493100.
- Langlands_dual isPrimaryTopicOf Langlands_dual.