Triple
T24036583
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | SL(n,ℂ) |
E595247
|
entity |
| Predicate | isAlgebraicGroupDefinedOver |
P78396
|
FINISHED |
| Object | ℂ |
—
|
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: ℂ | Statement: [SL(n,ℂ), isAlgebraicGroupDefinedOver, ℂ]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: isAlgebraicGroupDefinedOver Context triple: [SL(n,ℂ), isAlgebraicGroupDefinedOver, ℂ]
-
A.
isAlgebraicGroupOver
chosen
Indicates that one mathematical structure forms an algebraic group when considered over a specified base field or ring.
-
B.
isAlgebraicOver
Indicates that one mathematical object satisfies a nontrivial polynomial equation whose coefficients lie in the other object (typically a field or ring), expressing algebraic dependence over that base.
-
C.
isGaloisExtensionOf
Indicates that one field is a Galois extension of another, meaning it is a normal and separable field extension whose automorphism group over the base field captures all its symmetries.
-
D.
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.
-
E.
hasGaloisGroupIsomorphicTo
Indicates that the Galois group associated with one mathematical object is isomorphic (structure-preserving bijection exists) to the Galois group associated with another object.
- F. None of above.
Provenance (3 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_69e288bf45f08190a1b6ed8cd0b9e86b |
completed | April 17, 2026, 7:23 p.m. |
| NER | Named-entity recognition | batch_69f1d8d43884819093e9207a99ae2a70 |
completed | April 29, 2026, 10:09 a.m. |
| PD | Predicate disambiguation | batch_69f1764345388190a3102b62ddb729b4 |
completed | April 29, 2026, 3:08 a.m. |
Created at: April 17, 2026, 9:56 p.m.