Triple

T17661231
Position Surface form Disambiguated ID Type / Status
Subject affine Lie algebras E440255 entity
Predicate relatedTo P37 FINISHED
Object Yangians
Yangians are a class of quantum groups that arise as deformations of universal enveloping algebras of Lie algebras, playing a central role in the study of integrable systems and representation theory.
 E1280795 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: Yangians | Statement: [affine Lie algebras, relatedTo, Yangians]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Yangians
Context triple: [affine Lie algebras, relatedTo, Yangians]
  • A. Weyl
    Weyl is a surname most famously associated with Hermann Weyl, a prominent 20th-century mathematician and theoretical physicist known for major contributions to group theory, quantum mechanics, and the foundations of mathematics.
  • 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. Kac
    Kac is a surname most notably associated with Polish-American mathematician Mark Kac, known for his work in probability theory and mathematical physics.
  • D. Cartan
    Cartan is a French surname most famously associated with mathematician Élie Cartan and his influential family of mathematicians.
  • E. Poincaré group
    The Poincaré group is the fundamental symmetry group of special relativity, combining spacetime translations with Lorentz transformations in four-dimensional Minkowski space.
  • 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: Yangians
Triple: [affine Lie algebras, relatedTo, Yangians]
Generated description
Yangians are a class of quantum groups that arise as deformations of universal enveloping algebras of Lie algebras, playing a central role in the study of integrable systems and representation theory.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07 
Target entity: Yangians
Target entity description: Yangians are a class of quantum groups that arise as deformations of universal enveloping algebras of Lie algebras, playing a central role in the study of integrable systems and representation theory.
  • A. Weyl
    Weyl is a surname most famously associated with Hermann Weyl, a prominent 20th-century mathematician and theoretical physicist known for major contributions to group theory, quantum mechanics, and the foundations of mathematics.
  • 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. Kac
    Kac is a surname most notably associated with Polish-American mathematician Mark Kac, known for his work in probability theory and mathematical physics.
  • D. Cartan
    Cartan is a French surname most famously associated with mathematician Élie Cartan and his influential family of mathematicians.
  • E. Poincaré group
    The Poincaré group is the fundamental symmetry group of special relativity, combining spacetime translations with Lorentz transformations in four-dimensional Minkowski space.
  • 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_69d8b9e87e18819087104a44dc4dc5b1 completed April 10, 2026, 8:50 a.m.
NER Named-entity recognition batch_69e46ea67f8081909da164ca21a98675 completed April 19, 2026, 5:56 a.m.
NED1 Entity disambiguation (via context triple) batch_6a02165a9da081909f18e2b240f15281 completed May 11, 2026, 5:48 p.m.
NEDg Description generation batch_6a0216f564f88190863cdb92eb533532 completed May 11, 2026, 5:50 p.m.
NED2 Entity disambiguation (via description) batch_6a021784a1188190acc6f4f5d81a8662 completed May 11, 2026, 5:53 p.m.
Created at: April 10, 2026, 9:43 a.m.