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has gloss | eng: In representation theory, a branch of mathematics, the Langlands (dual) group LG (also called L-group) is a group associated to a reductive group G over a field k that controls the representation theory of G. It 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 Langlands group, where the Galois group is replaced by a Weil group. The Langlands 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. |
lexicalization | eng: Langlands group |
instance of | e/Automorphic form |
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