subalgebra of a Lie algebra
C18640
concept
A subalgebra of a Lie algebra is a linear subspace that is closed under the Lie bracket, meaning the bracket of any two of its elements remains within the subspace.
All labels observed (2)
| Label | Occurrences |
|---|---|
| subalgebra | 1 |
| subalgebra of a Lie algebra 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: subalgebra of a Lie algebra
Generated description
A subalgebra of a Lie algebra is a linear subspace that is closed under the Lie bracket, meaning the bracket of any two of its elements remains within the subspace.
Instances (2)
| Instance | Via concept surface |
|---|---|
| Cartan subalgebras | — |
| Gelfand–Tsetlin algebra | subalgebra |