Triple
T33943224
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Langlands dual group |
E870220
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | algebraic group |
C44535
|
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: algebraic group Context triple: [Langlands dual group, instanceOf, algebraic group]
-
A.
linear algebraic group
chosen
A linear algebraic group is a group that is also an affine algebraic variety, whose group operations (multiplication and inversion) are given by regular polynomial maps when the group is realized as a closed subgroup of some general linear group GLₙ.
-
B.
real algebraic group
A real algebraic group is a group that is also a real algebraic variety, with group operations (multiplication and inversion) given by regular (polynomial) maps defined over the real numbers.
-
C.
algebraic variety
An algebraic variety is a geometric object defined as the set of common solutions to a system of polynomial equations over a field, studied up to algebraic and topological properties.
-
D.
linear group
A linear group is a group of invertible matrices (or, equivalently, a group of linear transformations) over a field, closed under matrix multiplication and inversion.
-
E.
group (mathematics)
A group is a set equipped with a single binary operation that is closed, associative, has an identity element, and in which every element has an inverse.
- 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_69f3499b0dd48190b07b4b60babcee02 |
completed | April 30, 2026, 12:22 p.m. |
Created at: May 1, 2026, 1:49 a.m.