Triple
T36640598
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | symmetric group S5 |
E904572
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | Weyl group |
C17810
|
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: Weyl group Context triple: [symmetric group S5, instanceOf, Weyl group]
-
A.
finite reflection group
chosen
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.
-
B.
root lattice
A root lattice is a discrete additive subgroup of Euclidean space generated by the roots of a root system, encoding the integral structure underlying Lie algebras and related symmetries.
-
C.
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.
-
D.
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.
-
E.
spin group
A spin group is a double cover of a special orthogonal group, realized as a subgroup of a Clifford algebra, that encodes the symmetries of spinors and provides a framework for describing fermionic rotations in geometry and physics.
- 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_69f76e6c63e48190b1d0c3a79a6c7406 |
completed | May 3, 2026, 3:49 p.m. |
Created at: May 3, 2026, 4:11 p.m.