Triple

T20509001
Position Surface form Disambiguated ID Type / Status
Subject Schur–Weyl duality E503508 entity
Predicate hasVariant P455 FINISHED
Object Schur–Weyl duality for quantum groups — 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: Schur–Weyl duality for quantum groups | Statement: [Schur–Weyl duality, hasVariant, Schur–Weyl duality for quantum groups]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Schur–Weyl duality for quantum groups
Context triple: [Schur–Weyl duality, hasVariant, Schur–Weyl duality for quantum groups]
  • A. Schur–Weyl duality chosen
    Schur–Weyl duality is a fundamental result in representation theory that links representations of the symmetric group and the general linear group via their commuting actions on tensor powers of a vector space.
  • B. Drinfeld–Jimbo quantum groups
    Drinfeld–Jimbo quantum groups are deformations of universal enveloping algebras of Lie algebras that provide a foundational algebraic framework for quantum integrable systems and modern representation theory.
  • C. “Quantum Groups”
    “Quantum Groups” is a foundational work in mathematical physics and representation theory that introduced the concept of quantum groups, deforming classical Lie groups and algebras and profoundly influencing modern algebra and quantum integrable systems.
  • D. Gelfand–Tsetlin algebra
    The Gelfand–Tsetlin algebra is a commutative subalgebra of the universal enveloping algebra of a Lie algebra that acts diagonally in the Gelfand–Tsetlin basis and plays a central role in the explicit description of representations.
  • E. Dixmier mapping in representation theory
    The Dixmier mapping in representation theory is a correspondence introduced by Jacques Dixmier that relates primitive ideals in the universal enveloping algebra of a Lie algebra to coadjoint orbits, playing a key role in understanding the orbit method and the structure of representations.
  • 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_69e0b4b1e52c8190894281cf7e3283ab completed April 16, 2026, 10:06 a.m.
NER Named-entity recognition batch_69e69dc9de788190882ce471966ef2b4 completed April 20, 2026, 9:42 p.m.
Created at: April 16, 2026, 11:36 a.m.