Triple
T9456596
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | spacetime algebra |
E228029
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | Clifford algebra formalism |
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: Clifford algebra formalism Context triple: [spacetime algebra, instanceOf, Clifford algebra formalism]
-
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.
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.
-
C.
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.
-
D.
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.
-
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_69ca843b123881909b0e60028475d12d |
completed | March 30, 2026, 2:10 p.m. |
Created at: March 30, 2026, 7:52 p.m.