Triple
T7287608
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Onsager algebra |
E163912
|
entity |
| Predicate | hasDeformation |
P75397
|
FINISHED |
| Object |
q-Onsager algebra
The q-Onsager algebra is a quantum deformation of the Onsager algebra that plays a key role in the study of integrable systems and quantum groups.
|
E654981
|
NE FINISHED |
How this triple was built (5 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: q-Onsager algebra | Statement: [Onsager algebra, hasDeformation, q-Onsager algebra]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: q-Onsager algebra Context triple: [Onsager algebra, hasDeformation, q-Onsager algebra]
-
A.
Onsager algebra
The Onsager algebra is an infinite-dimensional Lie algebra introduced in the study of exactly solvable models in statistical mechanics, particularly the two-dimensional Ising model.
-
B.
Askey–Wilson algebra
The Askey–Wilson algebra is a quadratic algebra arising in the theory of orthogonal polynomials and quantum groups, closely linked to the Askey–Wilson polynomials and related integrable models.
-
C.
Bethe ansatz
The Bethe ansatz is a powerful method in theoretical physics for exactly solving certain one-dimensional quantum many-body systems by reducing them to algebraic equations for particle momenta.
-
D.
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.
-
E.
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.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NEDg
Description generation
gpt-5.1
Instruction
Generate a one-sentence description of the target entity. You are given a context triple in the form (subject, predicate, object), where the object is the target entity. # Instructions Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. Avoid repeating the information from the triple, unless really essential. # Response Format Return only the sentence: "Description: [one-sentence description of the target entity]"
Input
Entity: q-Onsager algebra Triple: [Onsager algebra, hasDeformation, q-Onsager algebra]
Generated description
The q-Onsager algebra is a quantum deformation of the Onsager algebra that plays a key role in the study of integrable systems and quantum groups.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: q-Onsager algebra Target entity description: The q-Onsager algebra is a quantum deformation of the Onsager algebra that plays a key role in the study of integrable systems and quantum groups.
-
A.
Onsager algebra
The Onsager algebra is an infinite-dimensional Lie algebra introduced in the study of exactly solvable models in statistical mechanics, particularly the two-dimensional Ising model.
-
B.
Askey–Wilson algebra
The Askey–Wilson algebra is a quadratic algebra arising in the theory of orthogonal polynomials and quantum groups, closely linked to the Askey–Wilson polynomials and related integrable models.
-
C.
Bethe ansatz
The Bethe ansatz is a powerful method in theoretical physics for exactly solving certain one-dimensional quantum many-body systems by reducing them to algebraic equations for particle momenta.
-
D.
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.
-
E.
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.
- F. None of above. chosen
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: hasDeformation Context triple: [Onsager algebra, hasDeformation, q-Onsager algebra]
-
A.
hasInternalDeformation
Indicates that one entity exhibits structural distortion or change within its interior caused by stress, force, or other internal factors.
-
B.
deformationFeatures
Indicates the presence or characteristics of structural changes or distortions (such as folds, faults, or warps) affecting an object or material.
-
C.
deformationStyle
Indicates the manner or pattern in which an object or material is deformed under applied forces or conditions.
-
D.
hasScar
Indicates that one entity bears or possesses a scar on its body.
-
E.
hasDam
Indicates that a watercourse, reservoir, or similar feature is impounded or controlled by a specific dam.
- F. None of above. chosen
Provenance (7 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_69c6886093b88190a254b1ce6db8bae7 |
completed | March 27, 2026, 1:38 p.m. |
| NER | Named-entity recognition | batch_69c6eb6a73fc8190ae5ce81fd3e46d87 |
completed | March 27, 2026, 8:41 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69c7e5368794819084e50bc87d8264de |
completed | March 28, 2026, 2:27 p.m. |
| NEDg | Description generation | batch_69c7e628b9e0819099fef480ea58973d |
completed | March 28, 2026, 2:31 p.m. |
| NED2 | Entity disambiguation (via description) | batch_69c7e7582ab08190827bb04465297c7c |
completed | March 28, 2026, 2:36 p.m. |
| PD | Predicate disambiguation | batch_69c6e76c5fbc8190b378830082f11cb0 |
completed | March 27, 2026, 8:24 p.m. |
| PDg | Predicate description generation | batch_69c6e82b0f9881909d29c99af1ea0dbf |
completed | March 27, 2026, 8:27 p.m. |
Created at: March 27, 2026, 2:59 p.m.