Triple
T26254990
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | SL(2,ℤ) |
E656692
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | linear group |
C51331
|
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: linear group Context triple: [SL(2,ℤ), instanceOf, linear group]
-
A.
linear algebraic group
A linear algebraic group is a group that is also an affine algebraic variety, whose group operations (multiplication and inversion) are given by regular polynomial maps when the group is realized as a closed subgroup of some general linear group GLₙ.
-
B.
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.
-
C.
real algebraic group
A real algebraic group is a group that is also a real algebraic variety, with group operations (multiplication and inversion) given by regular (polynomial) maps defined over the real numbers.
-
D.
abelian group
An abelian group is a set equipped with an associative binary operation that has an identity element and inverses for every element, and for which the operation is commutative.
-
E.
one-parameter Lie group
A one-parameter Lie group is a smooth group homomorphism from the real numbers (under addition) into a Lie group, describing a continuous one-dimensional family of group elements parameterized by a real variable.
- F. None of above. chosen
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_69ee5b4d25ac819086acb51184602576 |
completed | April 26, 2026, 6:37 p.m. |
Created at: April 26, 2026, 9:08 p.m.