LATENT REFERENCES / TAG2
Class Field Theory
Original title: 類体論
This reference note belongs to Tag2 in Latent References, an archive curated by Keigo Yoshida. Its archive region is Chaos theory · Lorenz equations. The note preserves its source text and links so that readers can trace the material behind the 3D map.
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In mathematics, class field theory (Japanese: ruitairon; English: class field theory; German: Klassenkörpertheorie) is a theory of algebraic number theory. It classifies and describes abelian extensions of algebraic number fields by relating them to mathematical objects intrinsic to the field, such as generalized ideal class groups and idele class groups.
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数学における類体論（るいたいろん、英: class field theory, 独: Klassenkörpertheorie）は、代数的整数論の理論。代数体のアーベル拡大を一般化されたイデアル類群やイデール類群といったその体に内在的な数学的対象と関係付け分類・記述する。
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Source updated 2024-01-29 · Snapshot 2026-10-08