Triple
T17661195
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | affine Lie algebras |
E440255
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | Kac–Moody algebra |
C18641
|
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: Kac–Moody algebra Context triple: [affine Lie algebras, instanceOf, Kac–Moody algebra]
-
A.
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.
-
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.
24-dimensional lattice
A 24-dimensional lattice is a discrete, periodic arrangement of points in 24-dimensional Euclidean space generated by integer linear combinations of 24 independent basis vectors.
-
D.
subalgebra of a Lie algebra
A subalgebra of a Lie algebra is a linear subspace that is closed under the Lie bracket, meaning the bracket of any two of its elements remains within the subspace.
-
E.
concept in Lie theory
chosen
A concept in Lie theory is an abstract mathematical construct—such as a Lie group, Lie algebra, or representation—that captures continuous symmetries and their algebraic and geometric properties.
- F. None of above.
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_69d8b9e87e18819087104a44dc4dc5b1 |
completed | April 10, 2026, 8:50 a.m. |
Created at: April 10, 2026, 9:43 a.m.