Triple
T23372455
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | GL(n,ℝ) |
E593509
|
entity |
| Predicate | containsSubgroup |
P10571
|
FINISHED |
| Object | SL(n,ℝ) |
—
|
NE NERFINISHED |
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: SL(n,ℝ) | Statement: [GL(n,ℝ), containsSubgroup, SL(n,ℝ)]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: SL(n,ℝ) Context triple: [GL(n,ℝ), containsSubgroup, SL(n,ℝ)]
-
A.
special linear group SL(n,R)
chosen
The special linear group SL(n,ℝ) is the Lie group of all n×n real matrices with determinant 1, fundamental in linear algebra and differential geometry as the group of volume-preserving linear transformations.
-
B.
gl(n,ℝ)
gl(n,ℝ) is the Lie algebra of all n×n real matrices under the commutator bracket, forming a fundamental example in linear algebra and Lie theory.
-
C.
special linear group SL(n,C)
The special linear group SL(n,ℂ) is the Lie group of n×n complex matrices with determinant 1, fundamental in representation theory, geometry, and many areas of modern mathematics and physics.
-
D.
SL(2,R)
SL(2,R) is the Lie group of 2×2 real matrices with determinant 1, fundamental in representation theory, geometry, and the study of symmetries in mathematics and physics.
-
E.
general linear group GL(n,R)
The general linear group GL(n,ℝ) is the Lie group consisting of all invertible n×n real matrices under matrix multiplication, fundamental in linear algebra and differential geometry.
- F. None of above.
- G. Unsure - the case is ambiguous/there is not enough information to decide.
Provenance (2 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_69e25d2593c88190bcdf4a716a94ccb2 |
completed | April 17, 2026, 4:17 p.m. |
| NER | Named-entity recognition | batch_69f1a3af45ec8190a32aa4e5f04f6756 |
completed | April 29, 2026, 6:22 a.m. |
Created at: April 17, 2026, 5:32 p.m.