Triple

T22666397
Position Surface form Disambiguated ID Type / Status
Subject Poisson bracket E559803 entity
Predicate instanceOf P0 FINISHED
Object Lie bracket C46646 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 bracket
Context triple: [Poisson bracket, instanceOf, Lie bracket]
  • A. generalization of Poisson bracket
    A generalization of the Poisson bracket is a bilinear operation on functions (or observables) that extends the classical Poisson structure—often relaxing antisymmetry, the Jacobi identity, or locality—to encompass broader algebraic or geometric frameworks such as Nambu, Gerstenhaber, or higher/derived brackets.
  • B. Weyl algebra
    The Weyl algebra is the associative algebra generated by variables and their corresponding differential operators subject to canonical commutation relations, typically modeling the algebraic structure of quantum mechanical observables.
  • 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 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.
  • E. linear differential operator
    A linear differential operator is a mapping that takes a function as input and returns a new function formed by a linear combination of the function and its derivatives.
  • 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_69e2454a158c819093b8e35f5045efb6 completed April 17, 2026, 2:35 p.m.
Created at: April 17, 2026, 3:09 p.m.