Triple
T10931406
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Nolan Wallach |
E258214
|
entity |
| Predicate | hasWrittenWork |
P4
|
FINISHED |
| Object |
Lie Groups: History, Frontiers and Applications (contributions)
"Lie Groups: History, Frontiers and Applications (contributions)" is a scholarly work featuring contributions by mathematician Nolan Wallach on the theory and applications of Lie groups.
|
E893440
|
NE FINISHED |
How this triple was built (4 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: Lie Groups: History, Frontiers and Applications (contributions) | Statement: [Nolan Wallach, hasWrittenWork, Lie Groups: History, Frontiers and Applications (contributions)]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Lie Groups: History, Frontiers and Applications (contributions) Context triple: [Nolan Wallach, hasWrittenWork, Lie Groups: History, Frontiers and Applications (contributions)]
-
A.
Lie theory
Lie theory is a branch of mathematics that studies continuous symmetry through Lie groups and Lie algebras, with deep applications in geometry, analysis, and theoretical physics.
-
B.
The Classical Groups: Their Invariants and Representations
The Classical Groups: Their Invariants and Representations is a foundational mathematical monograph by Hermann Weyl that systematically develops the theory of classical Lie groups, their invariants, and their representation theory.
-
C.
Lie algebras
Lie algebras are algebraic structures used to study continuous symmetries, especially those arising from Lie groups, via a linearized, infinitesimal perspective.
-
D.
Lie group
A Lie group is a mathematical structure that is both a smooth manifold and a group, where the group operations are differentiable and used to study continuous symmetries.
-
E.
L’intégration dans les groupes topologiques et ses applications
L’intégration dans les groupes topologiques et ses applications is a foundational mathematical monograph by André Weil that develops the theory of integration on topological groups and explores its far-reaching applications in analysis and number theory.
- 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: Lie Groups: History, Frontiers and Applications (contributions) Triple: [Nolan Wallach, hasWrittenWork, Lie Groups: History, Frontiers and Applications (contributions)]
Generated description
"Lie Groups: History, Frontiers and Applications (contributions)" is a scholarly work featuring contributions by mathematician Nolan Wallach on the theory and applications of Lie groups.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Lie Groups: History, Frontiers and Applications (contributions) Target entity description: "Lie Groups: History, Frontiers and Applications (contributions)" is a scholarly work featuring contributions by mathematician Nolan Wallach on the theory and applications of Lie groups.
-
A.
Lie theory
Lie theory is a branch of mathematics that studies continuous symmetry through Lie groups and Lie algebras, with deep applications in geometry, analysis, and theoretical physics.
-
B.
The Classical Groups: Their Invariants and Representations
The Classical Groups: Their Invariants and Representations is a foundational mathematical monograph by Hermann Weyl that systematically develops the theory of classical Lie groups, their invariants, and their representation theory.
-
C.
Lie algebras
Lie algebras are algebraic structures used to study continuous symmetries, especially those arising from Lie groups, via a linearized, infinitesimal perspective.
-
D.
Lie group
A Lie group is a mathematical structure that is both a smooth manifold and a group, where the group operations are differentiable and used to study continuous symmetries.
-
E.
L’intégration dans les groupes topologiques et ses applications
L’intégration dans les groupes topologiques et ses applications is a foundational mathematical monograph by André Weil that develops the theory of integration on topological groups and explores its far-reaching applications in analysis and number theory.
- F. None of above. chosen
Provenance (5 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_69d6aa8769b4819082bfe5e61b9017f0 |
completed | April 8, 2026, 7:20 p.m. |
| NER | Named-entity recognition | batch_69d770a062f481908beb76c6dbaeb6a6 |
completed | April 9, 2026, 9:25 a.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69e2175711d4819088f93bdf64ba4d3f |
completed | April 17, 2026, 11:19 a.m. |
| NEDg | Description generation | batch_69e21e54e22881908726f088643edfd2 |
completed | April 17, 2026, 11:49 a.m. |
| NED2 | Entity disambiguation (via description) | batch_69e21f1134d0819082fcc735da61d347 |
completed | April 17, 2026, 11:52 a.m. |
Created at: April 8, 2026, 9:23 p.m.