Triple
T25934560
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Dolan–Grady relations |
E653519
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | commutation relation |
C46646
|
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: commutation relation Context triple: [Dolan–Grady relations, instanceOf, commutation relation]
-
A.
Casimir operator
The Casimir operator is a distinguished element of the center of the universal enveloping algebra of a Lie algebra (or Lie group) that commutes with all generators and acts as a scalar on each irreducible representation, thereby classifying those representations.
-
B.
dispersion relation
A dispersion relation is a mathematical expression that links the frequency of a wave to its wavenumber (or energy to momentum), describing how different wavelengths propagate through a medium or system.
-
C.
Lie bracket
chosen
A Lie bracket is a bilinear, antisymmetric operation on a vector space that satisfies the Jacobi identity, defining the algebraic structure of a Lie algebra.
-
D.
relation in particle physics
A relation in particle physics is a mathematical or conceptual connection—often expressed as an equation or symmetry—linking physical quantities, particles, or interactions in a way that constrains or predicts their behavior.
-
E.
relativistic Hamiltonian
A relativistic Hamiltonian is an energy operator or function in classical or quantum mechanics that generates time evolution while consistently incorporating the principles of special relativity, typically ensuring Lorentz invariance and relativistic energy-momentum relations.
- 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_69e7ab3fd2f881908837305e4ba98011 |
completed | April 21, 2026, 4:52 p.m. |
Created at: April 22, 2026, 8:39 a.m.