Triple

T7600706
Position Surface form Disambiguated ID Type / Status
Subject Pauli matrices E179974 entity
Predicate instanceOf P0 FINISHED
Object basis of Lie algebra C8976 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: basis of Lie algebra
Context triple: [Pauli matrices, instanceOf, basis of Lie algebra]
  • A. 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.
  • B. Lie algebra generators chosen
    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. 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.
  • D. 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.
  • E. matrix basis set
    A matrix basis set is a collection of matrices that forms a minimal, linearly independent set spanning a matrix space, allowing any matrix in that space to be expressed as a unique linear combination of those basis matrices.
  • 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_69c69f3567008190ab01d2ca7b53584a completed March 27, 2026, 3:16 p.m.
Created at: March 27, 2026, 3:53 p.m.