Triple

T22668778
Position Surface form Disambiguated ID Type / Status
Subject Chevalley groups E559863 entity
Predicate have P13309 FINISHED
Object Borel subgroups 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: Borel subgroups | Statement: [Chevalley groups, have, Borel subgroups]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Borel subgroups
Context triple: [Chevalley groups, have, Borel subgroups]
  • A. Borel subgroup chosen
    A Borel subgroup is a maximal connected solvable algebraic subgroup of a linear algebraic group, playing a central role in the structure and representation theory of such groups.
  • B. Borel subalgebras
    Borel subalgebras are maximal solvable subalgebras of a Lie algebra that play a central role in the classification and representation theory of Lie algebras and algebraic groups.
  • C. Bruhat decomposition
    Bruhat decomposition is a fundamental result in algebraic group theory that expresses a group as a union of double cosets indexed by elements of its Weyl group, revealing a deep combinatorial structure.
  • D. Chevalley groups
    Chevalley groups are a broad class of linear algebraic groups constructed over arbitrary fields that generalize classical Lie groups and play a central role in the classification of finite simple groups.
  • E. Langlands decomposition
    The Langlands decomposition is a structural factorization of a parabolic subgroup of a reductive Lie group into a product of a Levi component, a split torus, and a unipotent radical, playing a central role in representation theory and the Langlands program.
  • 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_69e2454a158c819093b8e35f5045efb6 completed April 17, 2026, 2:35 p.m.
NER Named-entity recognition batch_69f1781de1d48190947cb1bb9d0890d9 completed April 29, 2026, 3:16 a.m.
Created at: April 17, 2026, 3:09 p.m.