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automorphic group

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  • Automorphic form — In mathematics, the general notion of automorphic form is the extension to analytic functions, perhaps of several complex variables, of the theory of modular forms. It is in terms of a Lie group G, to generalise the groups SL2(R) or PSL2 (R) of… …   Wikipedia

  • Automorphic factor — In mathematics, an automorphic factor is a certain type of analytic function, defined on subgroups of SL(2,R), appearing in the theory of modular forms. The general case, for general groups, is reviewed in the article factor of automorphy .… …   Wikipedia

  • Mathieu group — Group theory Group theory …   Wikipedia

  • Langlands group — In representation theory, a branch of mathematics, the Langlands (dual) group L G (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… …   Wikipedia

  • Lie group — Lie groups …   Wikipedia

  • List of Lie group topics — This is a list of Lie group topics, by Wikipedia page. Examples See Table of Lie groups for a list *General linear group, special linear group **SL2(R) **SL2(C) *Unitary group, special unitary group **SU(2) **SU(3) *Orthogonal group, special… …   Wikipedia

  • Fuchsian group — In mathematics, a Fuchsian group is a particular type of group of isometries of the hyperbolic plane. A Fuchsian group is always a discrete group contained in the semisimple Lie group PSL(2,C). The name is given in honour of Immanuel Lazarus… …   Wikipedia

  • Metaplectic group — In mathematics, the metaplectic group Mp2n is a double cover of the symplectic group Sp2n. It can be defined over either real or p adic numbers. The construction covers more generally the case of an arbitrary local or finite field, and even the… …   Wikipedia

  • Reductive group — In mathematics, a reductive group is an algebraic group G such that the unipotent radical of the identity component of G is trivial. Any semisimple algebraic group and any algebraic torus is reductive, as is any general linear group.The name… …   Wikipedia

  • Adelic algebraic group — In mathematics, an adelic algebraic group is a topological group defined by an algebraic group G over a number field K , and the adele ring A = A ( K ) of K . It consists of the points of G having values in A ; the definition of the appropriate… …   Wikipedia

  • Representation theory — This article is about the theory of representations of algebraic structures by linear transformations and matrices. For the more general notion of representations throughout mathematics, see representation (mathematics). Representation theory is… …   Wikipedia

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