Triple

T23837041
Position Surface form Disambiguated ID Type / Status
Subject SO(2,d-1) E590883 entity
Predicate instanceOf P0 FINISHED
Object Lorentz group C20392 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: Lorentz group
Context triple: [SO(2,d-1), instanceOf, Lorentz group]
  • A. representation of the Lorentz group
    A representation of the Lorentz group is a mathematical structure (typically a vector space with linear operators) on which the Lorentz transformations act in a way that preserves the group operations, allowing physical fields or states to transform consistently under changes of inertial reference frames.
  • B. spacetime symmetry group chosen
    A spacetime symmetry group is the mathematical group of transformations (such as translations, rotations, and boosts) that leave the physical laws or geometric structure of spacetime invariant.
  • C. Lorentzian manifold
    A Lorentzian manifold is a smooth manifold equipped with a metric tensor of signature \((-+\cdots+)\) (or its variants) that models spacetime in general relativity by distinguishing timelike, spacelike, and null directions.
  • D. 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.
  • E. one-parameter Lie group
    A one-parameter Lie group is a smooth group homomorphism from the real numbers (under addition) into a Lie group, describing a continuous one-dimensional family of group elements parameterized by a real variable.
  • 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_69e25d1de32c8190a907afe9c3d6cd6d completed April 17, 2026, 4:17 p.m.
Created at: April 17, 2026, 8:07 p.m.