Triple

T26255046
Position Surface form Disambiguated ID Type / Status
Subject PSL(2,ℝ) E656693 entity
Predicate instanceOf P0 FINISHED
Object rank-one Lie group C22583 CONCEPT FINISHED

How this triple was built (1 step)

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.

CD Concept disambiguation gpt-5-mini-2025-08-07 
Target class: rank-one Lie group
Context triple: [PSL(2,ℝ), instanceOf, rank-one Lie group]
  • A. simple Lie group chosen
    A simple Lie group is a connected non-abelian Lie group whose Lie algebra is simple, meaning it has no nontrivial proper ideals and is not a direct sum of smaller Lie algebras.
  • B. one-parameter Lie group
    A one-parameter Lie group is a smooth group homomorphism from the real numbers (under addition) into a Lie group, describing a continuous one-dimensional family of group elements parameterized by a real variable.
  • C. non-compact Lie group
    A non-compact Lie group is a Lie group whose underlying topological space is not compact, meaning it is a smooth group manifold that is unbounded or not closed in the sense of compactness.
  • D. linear algebraic group
    A linear algebraic group is a group that is also an affine algebraic variety, whose group operations (multiplication and inversion) are given by regular polynomial maps when the group is realized as a closed subgroup of some general linear group GLₙ.
  • E. real algebraic group
    A real algebraic group is a group that is also a real algebraic variety, with group operations (multiplication and inversion) given by regular (polynomial) maps defined over the real numbers.
  • F. None of above.

Provenance (1 batch)

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_69ee5b4d25ac819086acb51184602576 completed April 26, 2026, 6:37 p.m.
Created at: April 26, 2026, 9:08 p.m.