Triple
T22668742
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Chevalley groups |
E559863
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | algebraic group constructions |
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 constructions Context triple: [Chevalley groups, instanceOf, algebraic group constructions]
-
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.
group-theoretic construction
A group-theoretic construction is a method or process that builds new groups or analyzes existing ones using operations and principles from group theory, such as forming subgroups, quotient groups, products, or extensions.
-
C.
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.
-
D.
representation of a group
A representation of a group is a homomorphism from that group into the group of linear transformations of a vector space, allowing the group’s abstract elements to be studied via concrete matrices or operators.
-
E.
object in invariant theory
An object in invariant theory is a mathematical entity, such as a vector space, polynomial ring, or group action, whose structure and symmetries are studied through the functions or quantities that remain unchanged under a specified group of transformations.
- 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_69e2454a158c819093b8e35f5045efb6 |
completed | April 17, 2026, 2:35 p.m. |
Created at: April 17, 2026, 3:09 p.m.