Triple
T36870294
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | R-matrix |
E911206
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | fundamental object in quantum groups |
C63394
|
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: fundamental object in quantum groups Context triple: [R-matrix, instanceOf, fundamental object in quantum groups]
-
A.
fundamental object in integrable systems
chosen
A fundamental object in integrable systems is a core mathematical structure—such as a Lax pair, R-matrix, or tau-function—that encodes the system’s infinite set of conserved quantities and enables its exact solvability.
-
B.
q-deformation
q-deformation is a mathematical procedure that generalizes classical algebraic structures by introducing a parameter q, smoothly deforming their relations and symmetries to produce new, often quantum-related, versions of the original objects.
-
C.
quantum invariant
A quantum invariant is a quantity associated with a quantum system or topological object that remains unchanged under specified transformations, often used to distinguish or classify quantum states, knots, or manifolds.
-
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.
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_69f76e80f6f0819091cba8e19b269615 |
completed | May 3, 2026, 3:49 p.m. |
Created at: May 3, 2026, 4:13 p.m.