Triple
T36468941
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | PSL(2,ℂ) |
E898490
|
entity |
| Predicate | isRealLieGroupOfType |
P185549
|
FINISHED |
| Object | rank 1 non-compact simple |
—
|
LITERAL FINISHED |
How this triple was built (2 steps)
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.
NER
Named-entity recognition
gpt-5-mini
Instruction
Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).
Input
Phrase: rank 1 non-compact simple | Statement: [PSL(2,ℂ), isRealLieGroupOfType, rank 1 non-compact simple]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: isRealLieGroupOfType Context triple: [PSL(2,ℂ), isRealLieGroupOfType, rank 1 non-compact simple]
-
A.
isRealLieGroup
Indicates that the entity is a Lie group that is defined over the real numbers and satisfies the formal properties of a real Lie group.
-
B.
isSimpleAsLieGroup
Indicates that a given Lie group has no nontrivial connected normal subgroups, i.e., it is simple in the sense of Lie group theory.
-
C.
isReductiveGroup
Indicates that the entity is a reductive group, i.e., an algebraic group whose representation theory has no nontrivial unipotent normal subgroups and behaves like a direct product of tori and semisimple groups.
-
D.
hasLieAlgebra
Indicates that one mathematical structure is associated with, or gives rise to, a specific Lie algebra capturing its infinitesimal or tangent-level structure.
-
E.
isHomogeneousSpaceOf
Indicates that one mathematical space forms a homogeneous space under the transitive action of another (typically a group), meaning the acting structure moves any point of the space to any other point.
- F. None of above. chosen
Provenance (4 batches)
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_69f76e58ebd88190b75d9b169b59d793 |
completed | May 3, 2026, 3:48 p.m. |
| NER | Named-entity recognition | batch_69f7be9d07ac8190adf796cbef60daf6 |
completed | May 3, 2026, 9:31 p.m. |
| PD | Predicate disambiguation | batch_69f7bccf05bc8190b61fdb2b2a315811 |
completed | May 3, 2026, 9:23 p.m. |
| PDg | Predicate description generation | batch_69f7be9b9ab481908328e0e8d8ac73d4 |
completed | May 3, 2026, 9:31 p.m. |
Created at: May 3, 2026, 4:10 p.m.