Triple
T20508996
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Schur–Weyl duality |
E503508
|
entity |
| Predicate | uses |
P98
|
FINISHED |
| Object | Young diagrams |
E924200
|
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: Young diagrams | Statement: [Schur–Weyl duality, uses, Young diagrams]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Young diagrams Context triple: [Schur–Weyl duality, uses, Young diagrams]
-
A.
Young diagrams
chosen
Young diagrams are combinatorial diagrams consisting of left-justified rows of boxes that visually represent integer partitions and play a central role in the representation theory of symmetric and general linear groups.
-
B.
Gelfand–Tsetlin graph
The Gelfand–Tsetlin graph is a combinatorial structure whose vertices encode interlacing patterns corresponding to representations of unitary groups, organizing the branching of these representations in a graded, graph-theoretic form.
-
C.
Coxeter–Dynkin diagrams
Coxeter–Dynkin diagrams are graphical representations that encode the structure of reflection groups and root systems, widely used in the classification of regular polytopes, Lie algebras, and symmetries.
-
D.
Gelfand–Tsetlin basis
The Gelfand–Tsetlin basis is a canonical, combinatorially defined basis for representations of certain Lie algebras and groups, particularly used in the representation theory of GL(n) and related structures.
-
E.
Schützenberger
Schützenberger is a French surname most notably associated with several prominent scientists and mathematicians, including chemist Paul Schützenberger.
- 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_69e0b4b1e52c8190894281cf7e3283ab |
completed | April 16, 2026, 10:06 a.m. |
| NER | Named-entity recognition | batch_69e69dc9de788190882ce471966ef2b4 |
completed | April 20, 2026, 9:42 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_6a089d34c4ac8190a4ff8d8442dac927 |
completed | May 16, 2026, 4:37 p.m. |
Created at: April 16, 2026, 11:36 a.m.