non-Abelian gauge group
C7211
concept
A non-Abelian gauge group is a symmetry group of a gauge theory whose elements do not commute, leading to self-interacting gauge fields and rich interaction structures such as those in the strong and weak nuclear forces.
All labels observed (3)
| Label | Occurrences |
|---|---|
| special unitary group | 3 |
| non-Abelian gauge group canonical | 1 |
| non‑abelian group | 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: non-Abelian gauge group
Generated description
A non-Abelian gauge group is a symmetry group of a gauge theory whose elements do not commute, leading to self-interacting gauge fields and rich interaction structures such as those in the strong and weak nuclear forces.
Instances (5)
| Instance | Via concept surface |
|---|---|
| SU(2)_L | — |
| SU(3) | special unitary group |
|
rotation group SU(2)
surface form:
SU(2)
|
special unitary group |
|
special unitary group SU(n)
surface form:
SU(n)
|
special unitary group |
| symmetric group S5 | non‑abelian group |