Triple

T22668756
Position Surface form Disambiguated ID Type / Status
Subject Chevalley groups E559863 entity
Predicate constructedUsing P11047 FINISHED
Object Chevalley basis
A Chevalley basis is a specially chosen basis of a semisimple Lie algebra with integral structure constants, enabling the uniform construction of Lie groups and algebraic groups over arbitrary fields.
E1548923 NE FINISHED

How this triple was built (4 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: Chevalley basis | Statement: [Chevalley groups, constructedUsing, Chevalley basis]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Chevalley basis
Context triple: [Chevalley groups, constructedUsing, Chevalley basis]
  • A. 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.
  • B. Chevalley
    Chevalley is a French surname most prominently associated with Claude Chevalley, a influential 20th-century mathematician known for his work in algebra and group theory.
  • C. Cartan subalgebras
    Cartan subalgebras are maximal abelian subalgebras of a Lie algebra consisting of semisimple elements, fundamental for classifying and understanding the structure of Lie algebras.
  • D. Jordan–Chevalley decomposition
    The Jordan–Chevalley decomposition is a fundamental result in linear algebra and representation theory that expresses a linear operator (or matrix) as the sum or product of commuting semisimple and nilpotent parts.
  • E. Gelfand–Tsetlin basis
    The Gelfand–Tsetlin basis is a canonical, combinatorially defined basis for representations of certain Lie algebras and groups, particularly used in the representation theory of GL(n) and related structures.
  • F. None of above. chosen
  • G. Unsure - the case is ambiguous/there is not enough information to decide.
NEDg Description generation gpt-5.1
Instruction
Generate a one-sentence description of the target entity. 
You are given a context triple in the form (subject, predicate, object), where the object is the target entity. 
# Instructions
Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. 
Avoid repeating the information from the triple, unless really essential.
# Response Format
Return only the sentence: "Description: [one-sentence description of the target entity]"
Input
Entity: Chevalley basis
Triple: [Chevalley groups, constructedUsing, Chevalley basis]
Generated description
A Chevalley basis is a specially chosen basis of a semisimple Lie algebra with integral structure constants, enabling the uniform construction of Lie groups and algebraic groups over arbitrary fields.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Chevalley basis
Target entity description: A Chevalley basis is a specially chosen basis of a semisimple Lie algebra with integral structure constants, enabling the uniform construction of Lie groups and algebraic groups over arbitrary fields.
  • A. 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.
  • B. Chevalley
    Chevalley is a French surname most prominently associated with Claude Chevalley, a influential 20th-century mathematician known for his work in algebra and group theory.
  • C. Cartan subalgebras
    Cartan subalgebras are maximal abelian subalgebras of a Lie algebra consisting of semisimple elements, fundamental for classifying and understanding the structure of Lie algebras.
  • D. Jordan–Chevalley decomposition
    The Jordan–Chevalley decomposition is a fundamental result in linear algebra and representation theory that expresses a linear operator (or matrix) as the sum or product of commuting semisimple and nilpotent parts.
  • E. Gelfand–Tsetlin basis
    The Gelfand–Tsetlin basis is a canonical, combinatorially defined basis for representations of certain Lie algebras and groups, particularly used in the representation theory of GL(n) and related structures.
  • F. None of above. chosen

Provenance (5 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.
NED1 Entity disambiguation (via context triple) batch_6a0b73e98b74819096a28b35a4c5a510 completed May 18, 2026, 8:17 p.m.
NEDg Description generation batch_6a0b75873f2c8190a89772fc560840e1 completed May 18, 2026, 8:24 p.m.
NED2 Entity disambiguation (via description) batch_6a0b7601fda88190bbfa04e7eb240f65 completed May 18, 2026, 8:26 p.m.
Created at: April 17, 2026, 3:09 p.m.