two-step nilpotent Lie algebra
C43709
concept
A two-step nilpotent Lie algebra is a Lie algebra whose commutator subalgebra is nontrivial but central, meaning all iterated commutators of length three or more vanish.
All labels observed (1)
| Label | Occurrences |
|---|---|
| two-step nilpotent 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: two-step nilpotent Lie algebra
Generated description
A two-step nilpotent Lie algebra is a Lie algebra whose commutator subalgebra is nontrivial but central, meaning all iterated commutators of length three or more vanish.
Instances (1)
| Instance | Via concept surface |
|---|---|
| Heisenberg Lie algebra | — |