Triple

T24036516
Position Surface form Disambiguated ID Type / Status
Subject GL(n,ℂ) E595246 entity
Predicate maximalCompactSubgroup P78099 FINISHED
Object U(n) 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: U(n) | Statement: [GL(n,ℂ), maximalCompactSubgroup, U(n)]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: maximalCompactSubgroup
Context triple: [GL(n,ℂ), maximalCompactSubgroup, U(n)]
  • A. hasMaximalCompactSubgroupOf chosen
    Indicates that one mathematical group is the maximal compact subgroup contained within another group.
  • B. maximalTorus
    Indicates that one group is a maximal torus inside another group, meaning it is a largest possible connected, abelian, diagonalizable subgroup not properly contained in any larger such torus.
  • C. hasMaximalTorusDimension
    Indicates that the associated group or algebraic structure has a maximal torus whose dimension equals the specified value or satisfies a given dimensional property.
  • D. isCompactRealFormOf
    Indicates that one Lie group or Lie algebra is the compact real form corresponding to another (typically complex) Lie group or Lie algebra, sharing the same complexification.
  • E. isMaximalSymmetryGroupOf
    Indicates that a group represents the largest possible symmetry group for a given object or structure, such that no strictly larger symmetry group of that object exists containing it.
  • F. None of above.

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_69e288bf45f08190a1b6ed8cd0b9e86b completed April 17, 2026, 7:23 p.m.
NER Named-entity recognition batch_69f1d8d43884819093e9207a99ae2a70 completed April 29, 2026, 10:09 a.m.
PD Predicate disambiguation batch_69f1764345388190a3102b62ddb729b4 completed April 29, 2026, 3:08 a.m.
Created at: April 17, 2026, 9:56 p.m.