Lie Groups: History, Frontiers and Applications (contributions)
E893440
"Lie Groups: History, Frontiers and Applications (contributions)" is a scholarly work featuring contributions by mathematician Nolan Wallach on the theory and applications of Lie groups.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Lie Groups: History, Frontiers and Applications (contributions) canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T10931406 — 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: Lie Groups: History, Frontiers and Applications (contributions) Context triple: [Nolan Wallach, hasWrittenWork, Lie Groups: History, Frontiers and Applications (contributions)]
-
A.
Lie theory
Lie theory is a branch of mathematics that studies continuous symmetry through Lie groups and Lie algebras, with deep applications in geometry, analysis, and theoretical physics.
-
B.
The Classical Groups: Their Invariants and Representations
The Classical Groups: Their Invariants and Representations is a foundational mathematical monograph by Hermann Weyl that systematically develops the theory of classical Lie groups, their invariants, and their representation theory.
-
C.
Lie algebras
Lie algebras are algebraic structures used to study continuous symmetries, especially those arising from Lie groups, via a linearized, infinitesimal perspective.
-
D.
Lie group
A Lie group is a mathematical structure that is both a smooth manifold and a group, where the group operations are differentiable and used to study continuous symmetries.
-
E.
L’intégration dans les groupes topologiques et ses applications
L’intégration dans les groupes topologiques et ses applications is a foundational mathematical monograph by André Weil that develops the theory of integration on topological groups and explores its far-reaching applications in analysis and number theory.
- 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: Lie Groups: History, Frontiers and Applications (contributions) Target entity description: "Lie Groups: History, Frontiers and Applications (contributions)" is a scholarly work featuring contributions by mathematician Nolan Wallach on the theory and applications of Lie groups.
-
A.
Lie theory
Lie theory is a branch of mathematics that studies continuous symmetry through Lie groups and Lie algebras, with deep applications in geometry, analysis, and theoretical physics.
-
B.
The Classical Groups: Their Invariants and Representations
The Classical Groups: Their Invariants and Representations is a foundational mathematical monograph by Hermann Weyl that systematically develops the theory of classical Lie groups, their invariants, and their representation theory.
-
C.
Lie algebras
Lie algebras are algebraic structures used to study continuous symmetries, especially those arising from Lie groups, via a linearized, infinitesimal perspective.
-
D.
Lie group
A Lie group is a mathematical structure that is both a smooth manifold and a group, where the group operations are differentiable and used to study continuous symmetries.
-
E.
L’intégration dans les groupes topologiques et ses applications
L’intégration dans les groupes topologiques et ses applications is a foundational mathematical monograph by André Weil that develops the theory of integration on topological groups and explores its far-reaching applications in analysis and number theory.
- F. None of above. chosen
Statements (25)
| Predicate | Object |
|---|---|
| instanceOf |
mathematics publication
ⓘ
scholarly work ⓘ |
| academicDiscipline | mathematics ⓘ |
| contributor | Nolan Wallach ⓘ |
| field |
Lie groups
ⓘ
mathematical physics ⓘ representation theory ⓘ |
| focusesOn |
applications of Lie groups in analysis
ⓘ
applications of Lie groups in geometry ⓘ applications of Lie groups in physics ⓘ frontiers of Lie group research ⓘ structure of Lie groups ⓘ |
| hasContributor | Nolan Wallach ⓘ |
| hasContributorRole | author ⓘ |
| hasPart | contributed chapters ⓘ |
| intendedAudience |
graduate students in mathematics
ⓘ
research mathematicians ⓘ |
| language | English ⓘ |
| relatedTo |
Lie group representations
ⓘ
linked to:
Representations of groups
harmonic analysis on Lie groups ⓘ history of modern algebra ⓘ symmetry methods in mathematics ⓘ |
| topic |
applications of Lie groups
ⓘ
history of Lie groups ⓘ theory of Lie groups ⓘ |
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: Lie Groups: History, Frontiers and Applications (contributions) Description of subject: "Lie Groups: History, Frontiers and Applications (contributions)" is a scholarly work featuring contributions by mathematician Nolan Wallach on the theory and applications of Lie groups.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.