Triple
T33580026
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Fock model |
E860125
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | realization of group representation |
C27997
|
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: realization of group representation Context triple: [Fock model, instanceOf, realization of group representation]
-
A.
representation of a group
chosen
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.
-
B.
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.
-
C.
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.
-
D.
representation theory framework
A representation theory framework is a conceptual structure that studies how abstract algebraic objects, such as groups or algebras, can be realized concretely as linear transformations on vector spaces to analyze their properties through matrices and linear operators.
-
E.
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.
- 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_69f3497d37848190afcbb5ef3f5c7376 |
completed | April 30, 2026, 12:22 p.m. |
Created at: May 1, 2026, 1:40 a.m.