Triple
T21047018
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | affine group of R^n |
E518474
|
entity |
| Predicate | hasLieAlgebraStructure |
P28830
|
FINISHED |
| Object | R^n ⋊ gl(n,R) |
—
|
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: R^n ⋊ gl(n,R) | Statement: [affine group of R^n, hasLieAlgebraStructure, R^n ⋊ gl(n,R)]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: hasLieAlgebraStructure Context triple: [affine group of R^n, hasLieAlgebraStructure, R^n ⋊ gl(n,R)]
-
A.
hasLieAlgebra
chosen
Indicates that one mathematical structure is associated with, or gives rise to, a specific Lie algebra capturing its infinitesimal or tangent-level structure.
-
B.
hasLieAlgebraDimension
Indicates that an algebraic structure is associated with a Lie algebra having a specified vector-space dimension.
-
C.
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.
-
D.
isNonassociative
Indicates that a binary operation on three or more elements yields different results when the elements are grouped in different ways, so the associative law does not hold.
-
E.
isNonAbelian
Indicates that the operation or structure in question does not satisfy commutativity, so the order of applying the operation matters.
- 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_69e0b50438e08190917e2538bb8bc034 |
completed | April 16, 2026, 10:08 a.m. |
| NER | Named-entity recognition | batch_69e6fcf4d26481908b639996500a8319 |
completed | April 21, 2026, 4:28 a.m. |
| PD | Predicate disambiguation | batch_69e5dbf6728881908a2a43a5c8804a2a |
completed | April 20, 2026, 7:55 a.m. |
Created at: April 16, 2026, 2:34 p.m.