Triple
T20509516
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Heisenberg Lie algebra |
E503521
|
entity |
| Predicate | isSemisimple |
P102341
|
FINISHED |
| Object | false |
—
|
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: false | Statement: [Heisenberg Lie algebra, isSemisimple, false]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: isSemisimple Context triple: [Heisenberg Lie algebra, isSemisimple, false]
-
A.
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.
-
B.
isSemidirectProductOf
Indicates that a group is constructed as a semidirect product of two subgroups, where one subgroup acts on the other via automorphisms in a way that generalizes the direct product.
-
C.
isNilpotent
chosen
Indicates that an algebraic structure (typically a group, ring, or matrix) has some power or iterated operation that results in the identity or zero element, satisfying the definition of nilpotency.
-
D.
isUnimodular
Indicates that a matrix (or linear transformation) has determinant ±1, preserving volume and invertibility over the integers.
-
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_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. |
Created at: April 16, 2026, 11:36 a.m.