one-parameter Lie group
C46208
concept
A one-parameter Lie group is a smooth group homomorphism from the real numbers (under addition) into a Lie group, describing a continuous one-dimensional family of group elements parameterized by a real variable.
All labels observed (1)
| Label | Occurrences |
|---|---|
| one-parameter Lie group 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: one-parameter Lie group
Generated description
A one-parameter Lie group is a smooth group homomorphism from the real numbers (under addition) into a Lie group, describing a continuous one-dimensional family of group elements parameterized by a real variable.
Instances (1)
| Instance | Via concept surface |
|---|---|
| U(1) | — |