Reduction theory over global fields
Identifieur interne : 001D71 ( Main/Merge ); précédent : 001D70; suivant : 001D72Reduction theory over global fields
Auteurs : T. A. Springer [Pays-Bas]Source :
- Proceedings Mathematical Sciences [ 0253-4142 ] ; 1994-02-01.
English descriptors
- KwdEn :
- Absolute values, Algebraic geometry, Algebraic groups, Auxiliary results, Basic results, Borel, Borel group, Canonical, Canonical homomorphism, Canonical injection, Compact sets, Compact subgroup, Compact subset, Compactness theorem, Finite field, First case, Function field, Function fields, Galois descent, Galois group, Global fields, Ground field, Infinite place, Latter group, Levi group, Main results, Maximal torus, Number fields, Other hand, Parabolic, Positive roots, Primitive vectors, Quotient space, Rational functions, Reduction theory, Root datum, Root system, Simple root, Split groups, Springer, Subgroup, Subset, Torus, Uniform treatment, Unipotent, Unipotent group, Vector space, Weight vector, Weyl group, function fields, global fields, number fields.
- Teeft :
- Absolute values, Algebraic geometry, Algebraic groups, Auxiliary results, Basic results, Borel, Borel group, Canonical, Canonical homomorphism, Canonical injection, Compact sets, Compact subgroup, Compact subset, Compactness theorem, Finite field, First case, Function field, Function fields, Galois descent, Galois group, Global fields, Ground field, Infinite place, Latter group, Levi group, Main results, Maximal torus, Number fields, Other hand, Parabolic, Positive roots, Primitive vectors, Quotient space, Rational functions, Reduction theory, Root datum, Root system, Simple root, Split groups, Springer, Subgroup, Subset, Torus, Uniform treatment, Unipotent, Unipotent group, Vector space, Weight vector, Weyl group.
Abstract
Abstract: The paper contains an exposition of the basic results on reduction theory in reductive groups over global fields, in the adelic language. The treatment is uniform: number fields and function fields are on an equal footing.
Url:
DOI: 10.1007/BF02830884
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<term>Compact subgroup</term>
<term>Compact subset</term>
<term>Compactness theorem</term>
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<term>First case</term>
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<term>Main results</term>
<term>Maximal torus</term>
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<term>Other hand</term>
<term>Parabolic</term>
<term>Positive roots</term>
<term>Primitive vectors</term>
<term>Quotient space</term>
<term>Rational functions</term>
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<term>Root system</term>
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<front><div type="abstract" xml:lang="en">Abstract: The paper contains an exposition of the basic results on reduction theory in reductive groups over global fields, in the adelic language. The treatment is uniform: number fields and function fields are on an equal footing.</div>
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