Triple
T22382096
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | U(1) |
E553299
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | unitary group |
C7234
|
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: unitary group Context triple: [U(1), instanceOf, unitary group]
-
A.
projective unitary representation
A projective unitary representation is a map from a group to unitary operators on a Hilbert space that preserves group multiplication up to a phase factor, i.e., up to multiplication by complex numbers of modulus one.
-
B.
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.
-
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.
linear algebraic group
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.
-
E.
non-compact Lie group
chosen
A non-compact Lie group is a Lie group whose underlying topological space is not compact, meaning it is a smooth group manifold that is unbounded or not closed in the sense of compactness.
- 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_69e11e4c03248190a26a5060ea6973ee |
completed | April 16, 2026, 5:37 p.m. |
Created at: April 16, 2026, 8:45 p.m.