Triple
T5705532
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Cartan subalgebras |
E125774
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | subalgebra of a Lie algebra |
C18640
|
CONCEPT FINISHED |
How this triple was built (1 step)
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.
CD
Concept disambiguation
gpt-5-mini-2025-08-07
Target class: subalgebra of a Lie algebra Context triple: [Cartan subalgebras, instanceOf, subalgebra of a Lie algebra]
-
A.
subgroup
A subgroup is a subset of a group that is itself a group under the same binary operation, containing the identity, inverses, and being closed under the operation.
-
B.
Lie algebra generators
Lie algebra generators are the fundamental elements of a Lie algebra whose linear combinations and commutators encode the infinitesimal symmetries and structure constants of a continuous symmetry group.
-
C.
Weyl algebra
The Weyl algebra is the associative algebra generated by variables and their corresponding differential operators subject to canonical commutation relations, typically modeling the algebraic structure of quantum mechanical observables.
-
D.
filtered algebra
A filtered algebra is an algebra equipped with an ascending sequence of subspaces (a filtration) whose union is the whole algebra and such that the product of elements from given filtration levels lies in the corresponding summed level.
-
E.
algebra over a field
An algebra over a field is a vector space equipped with a bilinear multiplication operation that combines vectors to produce another vector in a way compatible with scalar multiplication from the field.
- F. None of above. chosen
Provenance (1 batch)
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_69c0082c96988190b3a6a201edce472a |
completed | March 22, 2026, 3:18 p.m. |
Created at: March 22, 2026, 3:45 p.m.