Triple
T20509298
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | semisimple Lie group |
E503516
|
entity |
| Predicate | hasRepresentationTheoryProperty |
P140358
|
FINISHED |
| Object | finite-dimensional representations are completely reducible |
—
|
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: finite-dimensional representations are completely reducible | Statement: [semisimple Lie group, hasRepresentationTheoryProperty, finite-dimensional representations are completely reducible]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: hasRepresentationTheoryProperty Context triple: [semisimple Lie group, hasRepresentationTheoryProperty, finite-dimensional representations are completely reducible]
-
A.
inRepresentationTheory
Indicates that one mathematical object is studied or characterized within the framework of representation theory, typically as a representation of a group, algebra, or related structure.
-
B.
hasRepresentationTheoryDevelopedBy
Indicates that the representation theory of one mathematical object or structure was developed or formulated by a particular person or group.
-
C.
hasIrreducibleRepresentationOfDimension
Indicates that an entity possesses an irreducible representation whose vector space has the specified dimension.
-
D.
hasConjugateFundamentalRepresentation
Indicates that one entity serves as the conjugate (dual) of the fundamental representation associated with another entity.
-
E.
isProjectiveRepresentationOf
Indicates that one mathematical object represents another up to multiplication by scalar factors, preserving structure only up to a projective (rather than strictly linear) equivalence.
- F. None of above. chosen
Provenance (4 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_69e0b4b1e52c8190894281cf7e3283ab |
completed | April 16, 2026, 10:06 a.m. |
| NER | Named-entity recognition | batch_69e69dc9de788190882ce471966ef2b4 |
completed | April 20, 2026, 9:42 p.m. |
| PD | Predicate disambiguation | batch_69e59fdb7ad88190924176c32a195db3 |
completed | April 20, 2026, 3:39 a.m. |
| PDg | Predicate description generation | batch_69e5a6a824748190bbe6192d73f3c613 |
completed | April 20, 2026, 4:08 a.m. |
Created at: April 16, 2026, 11:36 a.m.