non-abelian Lie algebra
C43710
concept
A non-abelian Lie algebra is a Lie algebra whose Lie bracket is not identically zero on all pairs of elements, meaning there exist elements whose bracket does not commute.
All labels observed (5)
| Label | Occurrences |
|---|---|
| complex Lie algebra | 1 |
| matrix Lie algebra | 1 |
| non-abelian Lie algebra canonical | 1 |
| semisimple Lie algebra | 1 |
| simple Lie algebra | 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 Lie algebra
Generated description
A non-abelian Lie algebra is a Lie algebra whose Lie bracket is not identically zero on all pairs of elements, meaning there exist elements whose bracket does not commute.
Instances (2)
| Instance | Via concept surface |
|---|---|
| Heisenberg Lie algebra | — |
| sl(2,C) | complex Lie algebra |