Triple

T6282535
Position Surface form Disambiguated ID Type / Status
Subject Theorie der Transformationsgruppen E140813 entity
Predicate mainSubject P3 FINISHED
Object Lie groups E142004 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: Lie groups | Statement: [Theorie der Transformationsgruppen, mainSubject, Lie groups]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Lie groups
Context triple: [Theorie der Transformationsgruppen, mainSubject, Lie groups]
  • A. Lie group chosen
    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.
  • B. 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.
  • 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. semisimple Lie groups
    Semisimple Lie groups are a class of Lie groups whose Lie algebras decompose into simple components and play a central role in representation theory, geometry, and mathematical physics.
  • E. Lie pseudogroup
    A Lie pseudogroup is a collection of local diffeomorphisms on a manifold that is closed under composition, inversion, and restriction, generalizing the concept of a Lie group to transformations defined only locally.
  • 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_69c008cd17c8819082b82d3fbeb68047 completed March 22, 2026, 3:20 p.m.
NER Named-entity recognition batch_69c063f956c08190ae0f198ccbd68b42 completed March 22, 2026, 9:49 p.m.
NED1 Entity disambiguation (via context triple) batch_69c603f29b8c81909636526a35547107 completed March 27, 2026, 4:13 a.m.
Created at: March 22, 2026, 4:26 p.m.