Triple
T11205455
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Yang–Baxter equation |
E265147
|
entity |
| Predicate | relatedTo |
P37
|
FINISHED |
| Object | Drinfeld–Jimbo quantum group |
E884937
|
NE FINISHED |
How this triple was built (2 steps)
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.
NER
Named-entity recognition
gpt-5-mini
Instruction
Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).
Input
Phrase: Drinfeld–Jimbo quantum group | Statement: [Yang–Baxter equation, relatedTo, Drinfeld–Jimbo quantum group]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Drinfeld–Jimbo quantum group Context triple: [Yang–Baxter equation, relatedTo, Drinfeld–Jimbo quantum group]
-
A.
Drinfeld–Jimbo quantum groups
chosen
Drinfeld–Jimbo quantum groups are deformations of universal enveloping algebras of Lie algebras that provide a foundational algebraic framework for quantum integrable systems and modern representation theory.
-
B.
“Quantum Groups”
“Quantum Groups” is a foundational work in mathematical physics and representation theory that introduced the concept of quantum groups, deforming classical Lie groups and algebras and profoundly influencing modern algebra and quantum integrable systems.
-
C.
Yang–Baxter equation
The Yang–Baxter equation is a fundamental consistency condition in mathematical physics and integrable systems that underlies exactly solvable models, quantum groups, and braid group representations.
-
D.
Schur–Weyl duality
Schur–Weyl duality is a fundamental result in representation theory that links representations of the symmetric group and the general linear group via their commuting actions on tensor powers of a vector space.
-
E.
affine Lie algebras
Affine Lie algebras are infinite-dimensional extensions of finite-dimensional simple Lie algebras that play a central role in representation theory, conformal field theory, and the study of exactly solvable models in mathematical physics.
- F. None of above.
- G. Unsure - the case is ambiguous/there is not enough information to decide.
Provenance (3 batches)
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_69d6aa9eb9248190b20211772621b4bc |
completed | April 8, 2026, 7:21 p.m. |
| NER | Named-entity recognition | batch_69d7e8d4eef88190a7f05bca82d919b9 |
completed | April 9, 2026, 5:58 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69e4972bfbd481908cd0da59389ae17c |
completed | April 19, 2026, 8:49 a.m. |
Created at: April 8, 2026, 9:30 p.m.