Triple
T23234911
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | orthogonal group O(n+1,2) |
E581259
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | orthogonal group |
C44535
|
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: orthogonal group Context triple: [orthogonal group O(n+1,2), instanceOf, orthogonal 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.
finite reflection group
A finite reflection group is a finite group generated by orthogonal reflections of a Euclidean (or more generally, real inner product) space, acting as symmetries that preserve distances and angles.
-
C.
linear algebraic group
chosen
A linear algebraic group is a group that is also an affine algebraic variety, whose group operations (multiplication and inversion) are given by regular polynomial maps when the group is realized as a closed subgroup of some general linear group GLₙ.
-
D.
rotation group in 3 dimensions
The rotation group in 3 dimensions is the set of all orientation-preserving linear transformations of 3D space that rotate vectors about the origin, forming a continuous group under composition often denoted SO(3).
-
E.
real algebraic group
A real algebraic group is a group that is also a real algebraic variety, with group operations (multiplication and inversion) given by regular (polynomial) maps defined over the real numbers.
- 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_69e2460556f88190be1744a84a84173f |
completed | April 17, 2026, 2:39 p.m. |
Created at: April 17, 2026, 4:09 p.m.