Triple
T5448898
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Dirac spinors |
E122318
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | representation of the Lorentz group |
C18224
|
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: representation of the Lorentz group Context triple: [Dirac spinors, instanceOf, representation of the Lorentz group]
-
A.
representation of Clifford algebra
A representation of a Clifford algebra is a homomorphism from the Clifford algebra to the algebra of linear operators on a vector space, realizing its generators as matrices or operators that satisfy the defining Clifford relations.
-
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.
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.
SU(3) generators
SU(3) generators are the eight linearly independent, traceless, Hermitian 3×3 matrices (often represented by the Gell-Mann matrices) that form a basis for the Lie algebra su(3), defining the infinitesimal symmetries of the SU(3) group.
-
E.
result in representation theory
A result in representation theory is a proven statement describing how algebraic structures, such as groups or algebras, can be represented by linear transformations on vector spaces and how these representations behave or decompose.
- 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_69bd4640f52c81909e653ec361f66d76 |
completed | March 20, 2026, 1:06 p.m. |
Created at: March 20, 2026, 2:07 p.m.