Triple
T11365347
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Deligne–Lusztig theory |
E269188
|
entity |
| Predicate | basedOn |
P98
|
FINISHED |
| Object |
Deligne–Lusztig varieties
Deligne–Lusztig varieties are certain algebraic varieties associated with finite groups of Lie type that play a central role in constructing and understanding their complex representations.
|
E269188
|
NE FINISHED |
How this triple was built (4 steps)
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.
NER
Named-entity recognition
gpt-5-mini
Instruction
Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).
Input
Phrase: Deligne–Lusztig varieties | Statement: [Deligne–Lusztig theory, basedOn, Deligne–Lusztig varieties]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Deligne–Lusztig varieties Context triple: [Deligne–Lusztig theory, basedOn, Deligne–Lusztig varieties]
-
A.
Deligne–Lusztig theory
Deligne–Lusztig theory is a framework in algebraic geometry and representation theory that constructs and studies representations of finite groups of Lie type using varieties defined over finite fields.
-
B.
Shimura varieties
Shimura varieties are higher-dimensional algebraic varieties that generalize modular curves and play a central role in the Langlands program by connecting number theory, automorphic forms, and arithmetic geometry.
-
C.
Real Reductive Groups II
Real Reductive Groups II is a graduate-level mathematics monograph by Nolan Wallach that develops the representation theory and harmonic analysis of real reductive Lie groups in depth.
-
D.
Kazhdan–Lusztig theory
Kazhdan–Lusztig theory is a framework in representation theory and algebraic geometry that studies Hecke algebras and their bases via Kazhdan–Lusztig polynomials, with deep connections to the representation theory of Lie algebras and geometry of Schubert varieties.
-
E.
Real Reductive Groups I
Real Reductive Groups I is a foundational mathematical monograph by Nolan Wallach that develops the representation theory and harmonic analysis of real reductive Lie groups.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NEDg
Description generation
gpt-5.1
Instruction
Generate a one-sentence description of the target entity. You are given a context triple in the form (subject, predicate, object), where the object is the target entity. # Instructions Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. Avoid repeating the information from the triple, unless really essential. # Response Format Return only the sentence: "Description: [one-sentence description of the target entity]"
Input
Entity: Deligne–Lusztig varieties Triple: [Deligne–Lusztig theory, basedOn, Deligne–Lusztig varieties]
Generated description
Deligne–Lusztig varieties are certain algebraic varieties associated with finite groups of Lie type that play a central role in constructing and understanding their complex representations.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Deligne–Lusztig varieties Target entity description: Deligne–Lusztig varieties are certain algebraic varieties associated with finite groups of Lie type that play a central role in constructing and understanding their complex representations.
-
A.
Deligne–Lusztig theory
chosen
Deligne–Lusztig theory is a framework in algebraic geometry and representation theory that constructs and studies representations of finite groups of Lie type using varieties defined over finite fields.
-
B.
Shimura varieties
Shimura varieties are higher-dimensional algebraic varieties that generalize modular curves and play a central role in the Langlands program by connecting number theory, automorphic forms, and arithmetic geometry.
-
C.
Real Reductive Groups II
Real Reductive Groups II is a graduate-level mathematics monograph by Nolan Wallach that develops the representation theory and harmonic analysis of real reductive Lie groups in depth.
-
D.
Kazhdan–Lusztig theory
Kazhdan–Lusztig theory is a framework in representation theory and algebraic geometry that studies Hecke algebras and their bases via Kazhdan–Lusztig polynomials, with deep connections to the representation theory of Lie algebras and geometry of Schubert varieties.
-
E.
Real Reductive Groups I
Real Reductive Groups I is a foundational mathematical monograph by Nolan Wallach that develops the representation theory and harmonic analysis of real reductive Lie groups.
- F. None of above.
Provenance (5 batches)
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_69d6aacca1048190b39dbbc2174616fa |
completed | April 8, 2026, 7:21 p.m. |
| NER | Named-entity recognition | batch_69d7ea4589908190948a8225768e1eec |
completed | April 9, 2026, 6:04 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69e55667d4908190b6290135eba41e54 |
completed | April 19, 2026, 10:25 p.m. |
| NEDg | Description generation | batch_69e562c6e7c8819098d22a6e0daa4a51 |
completed | April 19, 2026, 11:18 p.m. |
| NED2 | Entity disambiguation (via description) | batch_69e56a472f0c819086c1cccaa5ca0ae7 |
completed | April 19, 2026, 11:50 p.m. |
Created at: April 8, 2026, 9:33 p.m.