Triple
T23837137
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Spin(2,d) |
E590885
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | universal covering group |
C18167
|
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: universal covering group Context triple: [Spin(2,d), instanceOf, universal covering group]
-
A.
central extension
A central extension is a group (or algebraic structure) formed by inserting an additional central subgroup into another group so that the original group is recovered as the quotient by this central part.
-
B.
representation of a group
A representation of a group is a homomorphism from that group into the group of linear transformations of a vector space, allowing the group’s abstract elements to be studied via concrete matrices or operators.
-
C.
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.
-
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.
topological group
chosen
A topological group is a group equipped with a topology such that the group operation and inversion are continuous maps with respect to that topology.
- 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.