problem in invariant theory
C7255
concept
A problem in invariant theory concerns determining and characterizing the algebraic functions (invariants) that remain unchanged under the action of a given group on a vector space or algebraic variety.
All labels observed (2)
| Label | Occurrences |
|---|---|
| counterexample to Noether's problem | 1 |
| problem in invariant theory canonical | 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: problem in invariant theory
Generated description
A problem in invariant theory concerns determining and characterizing the algebraic functions (invariants) that remain unchanged under the action of a given group on a vector space or algebraic variety.
Instances (2)
| Instance | Via concept surface |
|---|---|
| Swan constructed counterexamples over the rational numbers | counterexample to Noether's problem |
| Noether's problem | — |