Triple

T20509092
Position Surface form Disambiguated ID Type / Status
Subject Representations of groups E503510 entity
Predicate appliesTo P1129 FINISHED
Object Lie groups — NE NERFINISHED

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: [Representations of groups, appliesTo, Lie groups]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Lie groups
Context triple: [Representations of groups, appliesTo, 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 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.
  • D. Lie algebras
    Lie algebras are algebraic structures used to study continuous symmetries, especially those arising from Lie groups, via a linearized, infinitesimal perspective.
  • E. 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.
  • F. None of above.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.

Provenance (2 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.
Created at: April 16, 2026, 11:36 a.m.