Die klassischen Gruppen
E503509
Die klassischen Gruppen is a foundational 1938 monograph by Hermann Weyl that systematically develops the theory of classical Lie groups, their invariants, and their representations.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Die klassischen Gruppen canonical | 2 |
How this entity was disambiguated
This entity first appeared as the object of triple T5211798 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Die klassischen Gruppen Context triple: [The Classical Groups: Their Invariants and Representations, originalTitle, Die klassischen Gruppen]
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A.
The Group
"The Group" is a satirical play by American writer and political commentator Mercy Otis Warren that critiques British colonial officials and loyalists in pre-Revolutionary Massachusetts.
-
B.
The Groups
The Groups is an alternate English title for Surah Az-Zumar, a chapter of the Qur’an that emphasizes sincere worship of God, the consequences of disbelief, and the gathering of people on the Day of Judgment.
-
C.
White Rose
White Rose is a major offshore oil field located in the North Atlantic off the coast of Newfoundland and Labrador, Canada.
-
D.
Twelve Men
Twelve Men is a collection of character-driven short stories by American naturalist author Theodore Dreiser, portraying the lives and struggles of various men in early 20th-century America.
-
E.
The Esses
The Esses is a challenging downhill sequence of tight, twisting corners at Mount Panorama Circuit that tests drivers' precision and car balance during the Bathurst 1000.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Die klassischen Gruppen Target entity description: Die klassischen Gruppen is a foundational 1938 monograph by Hermann Weyl that systematically develops the theory of classical Lie groups, their invariants, and their representations.
-
A.
The Group
"The Group" is a satirical play by American writer and political commentator Mercy Otis Warren that critiques British colonial officials and loyalists in pre-Revolutionary Massachusetts.
-
B.
The Groups
The Groups is an alternate English title for Surah Az-Zumar, a chapter of the Qur’an that emphasizes sincere worship of God, the consequences of disbelief, and the gathering of people on the Day of Judgment.
-
C.
White Rose
White Rose is a major offshore oil field located in the North Atlantic off the coast of Newfoundland and Labrador, Canada.
-
D.
Twelve Men
Twelve Men is a collection of character-driven short stories by American naturalist author Theodore Dreiser, portraying the lives and struggles of various men in early 20th-century America.
-
E.
The Esses
The Esses is a challenging downhill sequence of tight, twisting corners at Mount Panorama Circuit that tests drivers' precision and car balance during the Bathurst 1000.
- F. None of above. chosen
Statements (44)
| Predicate | Object |
|---|---|
| instanceOf |
book
ⓘ
mathematics monograph ⓘ |
| author | Hermann Weyl ⓘ |
| field |
Lie theory
ⓘ
algebra ⓘ group theory ⓘ mathematics ⓘ |
| focusesOn |
classical Lie groups
ⓘ
invariants of classical groups ⓘ matrix groups ⓘ representations of Lie groups ⓘ |
| genre |
mathematics textbook
ⓘ
scientific literature ⓘ |
| hasAuthorRole | Hermann Weyl was a mathematician ⓘ |
| hasEnglishEdition | The Classical Groups: Their Invariants and Representations ⓘ |
| hasPart |
invariant theory for classical groups
ⓘ
representation theory of classical groups ⓘ theory of orthogonal groups ⓘ theory of symplectic groups ⓘ theory of unitary groups ⓘ |
| influenced |
development of representation theory
ⓘ
mathematical physics ⓘ modern Lie group theory ⓘ |
| isFoundationFor |
modern theory of classical groups
ⓘ
representation theory of compact Lie groups ⓘ |
| notableFor |
influence on 20th-century mathematics
ⓘ
integration of invariant theory and representation theory ⓘ systematic treatment of classical Lie groups ⓘ |
| originalLanguage | German ⓘ |
| publicationYear | 1938 ⓘ |
| relatedTo |
Lie algebras
ⓘ
continuous groups ⓘ harmonic analysis on groups ⓘ invariant theory of polynomial functions ⓘ representation theory of Lie algebras ⓘ |
| relatedWork | The Classical Groups: Their Invariants and Representations ⓘ |
| subject |
Lie groups
ⓘ
linked to:
Lie group
classical groups ⓘ invariant theory ⓘ representation theory ⓘ |
| timePeriod | 20th century ⓘ |
| title | Die klassischen Gruppen ⓘ |
| usedIn |
graduate-level mathematics education
ⓘ
research in algebra and geometry ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: Die klassischen Gruppen Description of subject: Die klassischen Gruppen is a foundational 1938 monograph by Hermann Weyl that systematically develops the theory of classical Lie groups, their invariants, and their representations.
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.
The Classical Groups: Their Invariants and Representations
→
originalTitle
→
Die klassischen Gruppen
ⓘ