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- Adelic_algebraic_group abstract "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 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.In case G is a linear algebraic group, it is an affine algebraic variety in affine N-space. The topology on the adelic algebraic group is taken to be the subspace topology in AN, the Cartesian product of N copies of the adele ring.".
- Adelic_algebraic_group wikiPageExternalLink purl?GDZPPN002174502.
- Adelic_algebraic_group wikiPageExternalLink item?id=BSMF_1957__85__307_0.
- Adelic_algebraic_group wikiPageExternalLink item?id=SB_1954-1956__3__23_0.
- Adelic_algebraic_group wikiPageID "1168608".
- Adelic_algebraic_group wikiPageRevisionID "603882066".
- Adelic_algebraic_group first "A.S.".
- Adelic_algebraic_group hasPhotoCollection Adelic_algebraic_group.
- Adelic_algebraic_group id "T/t092060".
- Adelic_algebraic_group last "Rapinchuk".
- Adelic_algebraic_group title "Tamagawa number".
- Adelic_algebraic_group subject Category:Algebraic_groups.
- Adelic_algebraic_group subject Category:Algebraic_number_theory.
- Adelic_algebraic_group subject Category:Topological_groups.
- Adelic_algebraic_group type Abstraction100002137.
- Adelic_algebraic_group type AlgebraicGroups.
- Adelic_algebraic_group type Group100031264.
- Adelic_algebraic_group type TopologicalGroups.
- Adelic_algebraic_group comment "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 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_group label "Adelic algebraic group".
- Adelic_algebraic_group label "Adelische algebraïsche groep".
- Adelic_algebraic_group label "Idelgruppe".
- Adelic_algebraic_group sameAs Idelgruppe.
- Adelic_algebraic_group sameAs アデール的代数群.
- Adelic_algebraic_group sameAs Adelische_algebraïsche_groep.
- Adelic_algebraic_group sameAs m.04d0t6.
- Adelic_algebraic_group sameAs Q525964.
- Adelic_algebraic_group sameAs Q525964.
- Adelic_algebraic_group sameAs Adelic_algebraic_group.
- Adelic_algebraic_group wasDerivedFrom Adelic_algebraic_group?oldid=603882066.
- Adelic_algebraic_group isPrimaryTopicOf Adelic_algebraic_group.