Triple

T20509497
Position Surface form Disambiguated ID Type / Status
Subject Heisenberg Lie algebra E503521 entity
Predicate instanceOf P0 FINISHED
Object non-abelian Lie algebra C43710 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: non-abelian Lie algebra
Context triple: [Heisenberg Lie algebra, instanceOf, non-abelian Lie algebra]
  • A. 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.
  • B. subalgebra of a Lie algebra
    A subalgebra of a Lie algebra is a linear subspace that is closed under the Lie bracket, meaning the bracket of any two of its elements remains within the subspace.
  • C. Lie algebra generators
    Lie algebra generators are the fundamental elements of a Lie algebra whose linear combinations and commutators encode the infinitesimal symmetries and structure constants of a continuous symmetry group.
  • D. non-Abelian gauge group
    A non-Abelian gauge group is a symmetry group of a gauge theory whose elements do not commute, leading to self-interacting gauge fields and rich interaction structures such as those in the strong and weak nuclear forces.
  • E. simple Lie group
    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.
  • F. None of above. chosen

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_69e0b4b1e52c8190894281cf7e3283ab completed April 16, 2026, 10:06 a.m.
Created at: April 16, 2026, 11:36 a.m.