Triple
T27176437
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | sl(2,C) |
E683055
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | simple Lie algebra |
C43710
|
CONCEPT FINISHED |
How this triple was built (1 step)
Every LLM step that produced this triple, in pipeline order — named-entity classification, the disambiguation choices (the exact options shown, with the pick highlighted), and the generated description. The batch + timestamp of each is in the Provenance table below.
CD
Concept disambiguation
gpt-5-mini-2025-08-07
Target class: simple Lie algebra Context triple: [sl(2,C), instanceOf, simple Lie algebra]
-
A.
simple Lie group
A simple Lie group is a connected non-abelian Lie group whose Lie algebra is simple, meaning it has no nontrivial proper ideals and is not a direct sum of smaller Lie algebras.
-
B.
non-abelian Lie algebra
chosen
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.
-
C.
nilpotent Lie algebra
A nilpotent Lie algebra is a Lie algebra whose lower central series terminates in the zero subalgebra after finitely many steps, meaning repeated Lie brackets eventually vanish.
-
D.
subalgebra of a Lie algebra
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.
-
E.
two-step nilpotent Lie algebra
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.
- F. None of above.
Provenance (1 batch)
The batch behind each pipeline step, in order, with when it ran. Timestamps are batch-level — stages were processed in waves, so the object chain (NER → NED1 → NEDg → NED2) reads in order, but predicate / elicitation batches can sit in a different wave.
| Step | Stage | Batch ID | Status | When |
|---|---|---|---|---|
| creating | Elicitation | batch_69eefad086808190ab89816c0c300476 |
completed | April 27, 2026, 5:57 a.m. |
Created at: April 27, 2026, 9:26 a.m.