class field theory
C55903
concept
Class field theory is a branch of algebraic number theory that describes abelian extensions of number fields (or local fields) in terms of the arithmetic of the fields themselves, particularly their ideals and ideles.
All labels observed (2)
| Label | Occurrences |
|---|---|
| class field theory canonical | 1 |
| concept in field theory | 1 |
Description generation (CDg)
The one-sentence description above was generated by prompting gpt-5.1 with the class name and this instruction.
Instruction
generate a one-sentence description for a given conceptual class. # Response Format Return only the sentence: "Description: [one-sentence description of the conceptional class]"
Input
Class: class field theory
Generated description
Class field theory is a branch of algebraic number theory that describes abelian extensions of number fields (or local fields) in terms of the arithmetic of the fields themselves, particularly their ideals and ideles.
Instances (2)
| Instance | Via concept surface |
|---|---|
| local class field theory | — |
| Galois correspondence | concept in field theory |