Triple
T23235028
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Verma module |
E581261
|
entity |
| Predicate | constructedFrom |
P909
|
FINISHED |
| Object | Borel subalgebra |
—
|
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 subalgebra | Statement: [Verma module, constructedFrom, Borel subalgebra]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Borel subalgebra Context triple: [Verma module, constructedFrom, Borel subalgebra]
-
A.
Borel subalgebras
chosen
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.
-
B.
Borel subgroup
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.
-
C.
Cartan subalgebras
Cartan subalgebras are maximal abelian subalgebras of a Lie algebra consisting of semisimple elements, fundamental for classifying and understanding the structure of Lie algebras.
-
D.
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.
-
E.
Chevalley basis
A Chevalley basis is a specially chosen basis of a semisimple Lie algebra with integral structure constants, enabling the uniform construction of Lie groups and algebraic groups over arbitrary fields.
- 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_69e2460556f88190be1744a84a84173f |
completed | April 17, 2026, 2:39 p.m. |
| NER | Named-entity recognition | batch_69f192e8c7548190b53434eeb2620a6e |
completed | April 29, 2026, 5:11 a.m. |
Created at: April 17, 2026, 4:09 p.m.