Triple
T21953498
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Borel subalgebras |
E542124
|
entity |
| Predicate | conjugacy |
P134891
|
FINISHED |
| Object | any two Borel subalgebras of a complex semisimple Lie algebra are conjugate under the adjoint group |
—
|
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: any two Borel subalgebras of a complex semisimple Lie algebra are conjugate under the adjoint group | Statement: [Borel subalgebras, conjugacy, any two Borel subalgebras of a complex semisimple Lie algebra are conjugate under the adjoint group]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: conjugacy Context triple: [Borel subalgebras, conjugacy, any two Borel subalgebras of a complex semisimple Lie algebra are conjugate under the adjoint group]
-
A.
conjugacyProperty
Indicates that two elements or structures are related by conjugation, sharing the same form up to an inner automorphism or similarity transformation.
-
B.
conjugate
Indicates that one entity is a grammatical or mathematical counterpart of another, linked by a specific transformation such as verb inflection or complex-number pairing.
-
C.
conjugateTo
chosen
Indicates that one entity can be transformed into the other by a specific equivalence operation (such as similarity or group conjugation), so they are equivalent up to that transformation.
-
D.
hasConjugacyClasses
Indicates that a group is associated with specific conjugacy classes, each consisting of elements that are mutually conjugate within the group.
-
E.
isConjugatedTo
Indicates that two verb forms are related as different inflectional variants of the same verb through conjugation.
- 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_69e0c47ef0e48190a50e1bcc43f4b3fd |
completed | April 16, 2026, 11:14 a.m. |
| NER | Named-entity recognition | batch_69f1243dfb4081909bc7a722843ffea7 |
completed | April 28, 2026, 9:18 p.m. |
| PD | Predicate disambiguation | batch_69e6f601f2188190893bcdde0cf58ad6 |
completed | April 21, 2026, 3:58 a.m. |
Created at: April 16, 2026, 7:59 p.m.