Triple

T21953572
Position Surface form Disambiguated ID Type / Status
Subject Maurer–Cartan form E542126 entity
Predicate instanceOf P0 FINISHED
Object Lie algebra-valued 1-form C3506 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: Lie algebra-valued 1-form
Context triple: [Maurer–Cartan form, instanceOf, Lie algebra-valued 1-form]
  • A. non-abelian Lie algebra
    A non-abelian Lie algebra is a Lie algebra whose Lie bracket is not identically zero on all pairs of elements, meaning there exist elements whose bracket does not commute.
  • B. 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.
  • C. 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.
  • D. concept in Lie theory
    A concept in Lie theory is an abstract mathematical construct—such as a Lie group, Lie algebra, or representation—that captures continuous symmetries and their algebraic and geometric properties.
  • E. differential geometric object chosen
    A differential geometric object is a mathematical entity, such as a manifold, tensor, or connection, defined on smooth spaces and characterized by properties that are invariant under smooth coordinate transformations.
  • F. None of above.

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_69e0c47ef0e48190a50e1bcc43f4b3fd completed April 16, 2026, 11:14 a.m.
Created at: April 16, 2026, 7:59 p.m.