Triple
T34154804
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Beilinson–Bernstein localization theorem |
E876104
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | result in geometric representation theory |
C17811
|
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: result in geometric representation theory Context triple: [Beilinson–Bernstein localization theorem, instanceOf, result in geometric representation theory]
-
A.
result in representation theory
chosen
A result in representation theory is a proven statement describing how algebraic structures, such as groups or algebras, can be represented by linear transformations on vector spaces and how these representations behave or decompose.
-
B.
area of representation theory
An area of representation theory is a subfield that studies how algebraic structures, such as groups or algebras, can be realized concretely as linear transformations on vector spaces, often focusing on specific types of objects, techniques, or applications within the broader theory.
-
C.
work in algebraic geometry
Work in algebraic geometry studies geometric objects defined as solution sets to polynomial equations, using tools from commutative algebra and topology to understand their structure, classification, and morphisms between them.
-
D.
result in arithmetic geometry
A result in arithmetic geometry is a theorem or proposition that connects number-theoretic properties of solutions to polynomial equations with the geometric structure of the varieties they define over arithmetic fields.
-
E.
basis in representation theory
A basis in representation theory is a chosen set of vectors in a representation space such that every vector in the space can be uniquely expressed as a linear combination of them, allowing the linear operators representing group or algebra elements to be described concretely by matrices.
- 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_69f349abaa508190a820f206620efddc |
completed | April 30, 2026, 12:23 p.m. |
Created at: May 1, 2026, 1:54 a.m.