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Concept information

number > number theory > algebraic number theory > adelic algebraic group
algebra > group theory > topological group > adelic algebraic group
geometry > algebraic geometry > algebraic variety > algebraic group > adelic algebraic group

Terme préférentiel

adelic algebraic group  

Définition(s)

  • In abstract algebra, an adelic algebraic group is a semitopological 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 topology is straightforward only in case G is a linear algebraic group. In the case of G being an abelian variety, it presents a technical obstacle, though it is known that the concept is potentially useful in connection with Tamagawa numbers. Adelic algebraic groups are widely used in number theory, particularly for the theory of automorphic representations, and the arithmetic of quadratic forms.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Adelic_algebraic_group)

Concept(s) générique(s)

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http://data.loterre.fr/ark:/67375/PSR-LJ4KBMZM-M

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RDF/XML TURTLE JSON-LD Date de création 30/08/2023, dernière modif. 30/08/2023