About: Non-abelian class field theory

Facets (new session)
Description
Metadata
Settings
- Rule:
- Inverse Functional Properties:
- "Same As":

About: Non-abelian class field theory Goto Sponge NotDistinct Permalink

An Entity of Type : owl:Thing, within Data Space : dbpedia.demo.openlinksw.com associated with source document(s)
QRcode icon

http://dbpedia.demo.openlinksw.com/c/YnYyrXCKM

In mathematics, non-abelian class field theory is a catchphrase, meaning the extension of the results of class field theory, the relatively complete and classical set of results on abelian extensions of any number field K, to the general Galois extension L/K. While class field theory was essentially known by 1930, the corresponding non-abelian theory has never been formulated in a definitive and accepted sense.

Attributes	Values
rdfs:label	Non-abelian class field theory (en) 非可換類体論 (ja)
rdfs:comment	In mathematics, non-abelian class field theory is a catchphrase, meaning the extension of the results of class field theory, the relatively complete and classical set of results on abelian extensions of any number field K, to the general Galois extension L/K. While class field theory was essentially known by 1930, the corresponding non-abelian theory has never been formulated in a definitive and accepted sense. (en) 数学において、非可換類体論（ひかかんるいたいろん、英: non-abelian class field theory）は、類体論の結果、任意の代数体 K のアーベル拡大についての比較的完全で古典的な一連の結果の、一般のガロワ拡大 L/K への拡張を意味するキャッチフレーズである。拡大の群が可換な場合の理論である類体論は1930年頃には本質的には知られるところとなったが、それを非可換の場合に拡張する理論は、まだ誰もが認める確定した定式化には至っていない。 (ja)
dcterms:subject	Class field theory
Wikipage page ID	8354260 (xsd:integer)
Wikipage revision ID	1122958541 (xsd:integer)
Link from a Wikipage to another Wikipage	L-function Anabelian geometry Mathematics Claude Chevalley Emil Artin Fundamental theorem of Galois theory Frobenioid Automorphic representation Galois extension Galois group Langlands program Number field Dirichlet series Group cohomology Abelian extension Class field theory Artin L-function Class field theory Langlands correspondence Artin reciprocity Idele class group Splitting of prime ideals in a Galois extension
sameAs	Non-abelian class field theory Non-abelian class field theory Non-abelian class field theory Non-abelian class field theory
has abstract	In mathematics, non-abelian class field theory is a catchphrase, meaning the extension of the results of class field theory, the relatively complete and classical set of results on abelian extensions of any number field K, to the general Galois extension L/K. While class field theory was essentially known by 1930, the corresponding non-abelian theory has never been formulated in a definitive and accepted sense. (en) 数学において、非可換類体論（ひかかんるいたいろん、英: non-abelian class field theory）は、類体論の結果、任意の代数体 K のアーベル拡大についての比較的完全で古典的な一連の結果の、一般のガロワ拡大 L/K への拡張を意味するキャッチフレーズである。拡大の群が可換な場合の理論である類体論は1930年頃には本質的には知られるところとなったが、それを非可換の場合に拡張する理論は、まだ誰もが認める確定した定式化には至っていない。 (ja)
gold:hypernym	Catchphrase
prov:wasDerivedFrom	wikipedia-en:Non-abelian_class_field_theory?oldid=1122958541&ns=0
page length (characters) of wiki page	3718 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Non-abelian_class_field_theory
is Link from a Wikipage to another Wikipage of	Non-abelian classfield theory Nonabelian classfield theory Vladimir Drinfeld Non-abelian Glossary of areas of mathematics Galois cohomology Hilbert's ninth problem Hilbert's problems Artin L-function Mark Trodden Class field theory Nonabelian class field theory
is Wikipage redirect of	Non-abelian classfield theory Nonabelian classfield theory Nonabelian class field theory
is Wikipage disambiguates of	Non-abelian
is foaf:primaryTopic of	wikipedia-en:Non-abelian_class_field_theory

Faceted Search & Find service v1.17_git147 as of Sep 06 2024

Alternative Linked Data Documents: ODE Content Formats:

RDF

ODATA

Microdata

About

OpenLink Virtuoso version 08.03.3332 as of Dec 5 2024, on Linux (x86_64-generic-linux-glibc212), Single-Server Edition (378 GB total memory, 76 GB memory in use)
Data on this page belongs to its respective rights holders.
Virtuoso Faceted Browser Copyright © 2009-2025 OpenLink Software