Triple
T10389295
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Weil representation |
E244847
|
entity |
| Predicate | isLinearRepresentationOf |
P42361
|
FINISHED |
| Object | metaplectic group |
E860123
|
NE FINISHED |
How this triple was built (3 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: metaplectic group | Statement: [Weil representation, isLinearRepresentationOf, metaplectic group]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: metaplectic group Context triple: [Weil representation, isLinearRepresentationOf, metaplectic group]
-
A.
metaplectic group
chosen
The metaplectic group is a double cover of the symplectic group that plays a central role in number theory and representation theory, particularly through its connection to theta functions and automorphic forms.
-
B.
Weil–Deligne group
The Weil–Deligne group is an extension of the Weil group by a copy of the additive group that encodes both arithmetic and monodromy data, playing a central role in the local Langlands correspondence and the study of l-adic Galois representations.
-
C.
Weil group
The Weil group is an extension of the absolute Galois group introduced by André Weil to refine class field theory and play a central role in the formulation of the local and global Langlands correspondences.
-
D.
Weyl group
A Weyl group is a finite reflection group associated with a root system that encodes the symmetries of Lie algebras and Lie groups in representation theory and geometry.
-
E.
Weil representation
The Weil representation is a fundamental projective unitary representation of symplectic groups (or their metaplectic covers) on spaces of functions, central to number theory, automorphic forms, and the theory of theta functions.
- F. None of above.
- G. Unsure - the case is ambiguous/there is not enough information to decide.
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: isLinearRepresentationOf Context triple: [Weil representation, isLinearRepresentationOf, metaplectic group]
-
A.
isLinear
Indicates that a relationship, function, or structure preserves linearity, typically meaning it satisfies additivity and homogeneity (or forms a straight-line dependence between variables).
-
B.
hasMinimalFaithfulLinearRepresentation
Indicates that there exists a faithful linear representation of the entity (e.g., a group) whose dimension is minimal among all its faithful linear representations.
-
C.
isIntegralFormOf
Indicates that one entity is the integral (indefinite integral or antiderivative) form corresponding to another entity, typically a derivative or differential expression.
-
D.
representationWithRespectTo
chosen
Indicates a relationship in which one entity serves as a representation, depiction, or stand-in for another entity under a particular perspective, context, or interpretive framework.
-
E.
isRepresentiveOf
Indicates that one entity serves as an official agent, spokesperson, or proxy acting on behalf of another entity.
- F. None of above.
Provenance (4 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_69d381b5116081908d85227bab6d3c0c |
completed | April 6, 2026, 9:49 a.m. |
| NER | Named-entity recognition | batch_69d4e9b40dd8819080ac839487020a44 |
completed | April 7, 2026, 11:25 a.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69d7fbae9a9c81908178fca68eb142b6 |
completed | April 9, 2026, 7:19 p.m. |
| PD | Predicate disambiguation | batch_69d4dfb0e7a88190bec0b7a52c70dfe2 |
completed | April 7, 2026, 10:42 a.m. |
Created at: April 6, 2026, 12:05 p.m.