Triple
T33943225
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Langlands dual group |
E870220
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | concept in representation theory |
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: concept in representation theory Context triple: [Langlands dual group, instanceOf, concept in representation theory]
-
A.
notion in representation theory
A notion in representation theory is a fundamental concept or construct—such as a module, character, or irreducible representation—used to study how algebraic structures act on vector spaces or other linear objects.
-
B.
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.
-
C.
result in representation theory
A result in representation theory is a proven statement describing how algebraic structures, such as groups or algebras, can be represented by linear transformations on vector spaces and how these representations behave or decompose.
-
D.
basis in representation theory
A basis in representation theory is a chosen set of vectors in a representation space such that every vector in the space can be uniquely expressed as a linear combination of them, allowing the linear operators representing group or algebra elements to be described concretely by matrices.
-
E.
concept in group theory
A class in group theory is a subset of group elements that are equivalent under conjugation, meaning each element can be written as g⁻¹ag for some fixed a and varying g in the group.
- 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.