Triple
T22668778
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Chevalley groups |
E559863
|
entity |
| Predicate | have |
P13309
|
FINISHED |
| Object | Borel subgroups |
—
|
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: Borel subgroups | Statement: [Chevalley groups, have, Borel subgroups]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Borel subgroups Context triple: [Chevalley groups, have, Borel subgroups]
-
A.
Borel subgroup
chosen
A Borel subgroup is a maximal connected solvable algebraic subgroup of a linear algebraic group, playing a central role in the structure and representation theory of such groups.
-
B.
Borel subalgebras
Borel subalgebras are maximal solvable subalgebras of a Lie algebra that play a central role in the classification and representation theory of Lie algebras and algebraic groups.
-
C.
Bruhat decomposition
Bruhat decomposition is a fundamental result in algebraic group theory that expresses a group as a union of double cosets indexed by elements of its Weyl group, revealing a deep combinatorial structure.
-
D.
Chevalley groups
Chevalley groups are a broad class of linear algebraic groups constructed over arbitrary fields that generalize classical Lie groups and play a central role in the classification of finite simple groups.
-
E.
Langlands decomposition
The Langlands decomposition is a structural factorization of a parabolic subgroup of a reductive Lie group into a product of a Levi component, a split torus, and a unipotent radical, playing a central role in representation theory and the Langlands program.
- 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_69e2454a158c819093b8e35f5045efb6 |
completed | April 17, 2026, 2:35 p.m. |
| NER | Named-entity recognition | batch_69f1781de1d48190947cb1bb9d0890d9 |
completed | April 29, 2026, 3:16 a.m. |
Created at: April 17, 2026, 3:09 p.m.