Sophus Lie

E26524

Sophus Lie was a Norwegian mathematician renowned for founding the theory of continuous transformation groups, now known as Lie groups, which play a central role in modern geometry and theoretical physics.

Try in SPARQL Jump to: Surface forms Statements Referenced by

All labels observed (2)

Label Occurrences
Sophus Lie canonical 24
Marius Sophus Lie 3

Statements (53)

Predicate Object
instanceOf Norwegian mathematician
human
mathematician
academicAdvisor Carl Anton Bjerknes
awardReceived Légion d'honneur
Sylvester Medal
birthCountry Norway
birthDate 1842-12-17
birthPlace Nordfjordeid
citizenship Norway
coAuthor Friedrich Engel
Georg Scheffers
deathCountry Norway
deathDate 1899-02-18
deathPlace Oslo
educatedAt University of Oslo
surface form: University of Christiania
employer University of Leipzig
surface form: Leipzig University

University of Oslo
surface form: University of Christiania
familyName LIE
surface form: Lie
fieldOfWork differential equations
geometry
group theory
mathematics
fullName Sophus Lie self-linksurface differs
surface form: Marius Sophus Lie
givenName Marius
Sophus
hasConceptNamedAfter Lie algebra
Lie algebra representation
Lie bracket
Lie derivative
Lie group
Lie pseudogroup
Lie ring
Lie sphere geometry
Lie subgroup
influenced Felix Klein
modern differential geometry
representation theory
theoretical physics
influencedBy Niels Henrik Abel
knownFor Lie theory
surface form: Lie algebras

Lie theory
surface form: Lie groups

Lie theory
applications of symmetry to differential equations
theory of continuous transformation groups
memberOf Norwegian Academy of Science and Letters
Prussian Academy of Sciences
Royal Swedish Academy of Sciences
name Sophus Lie self-link
notableWork Theorie der Transformationsgruppen
occupation university professor
positionHeld professor of mathematics at Leipzig University
spouse Anna Lie

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: Sophus Lie
Description of subject: Sophus Lie was a Norwegian mathematician renowned for founding the theory of continuous transformation groups, now known as Lie groups, which play a central role in modern geometry and theoretical physics.

Referenced by (27)

Full triples — surface form annotated when it differs from this entity's canonical label.

Élie Cartan influencedBy Sophus Lie
Sophus Lie name Sophus Lie self-link
Sophus Lie fullName Sophus Lie self-linksurface differs
this entity surface form: Marius Sophus Lie
Julius Plücker hasInfluenced Sophus Lie
Lie theory namedAfter Sophus Lie
Lie theory developedBy Sophus Lie
Lie sphere geometry developedBy Sophus Lie
Theorie der Transformationsgruppen author Sophus Lie
this entity surface form: Marius Sophus Lie
Friedrich Engel coAuthor Sophus Lie
Friedrich Engel influencedBy Sophus Lie
Marius hasNameInLanguage Sophus Lie
subject surface form: Marius Sophus Lie
this entity surface form: Marius Sophus Lie
Lie bracket namedAfter Sophus Lie
Lie derivative namedAfter Sophus Lie
Lie derivative introducedBy Sophus Lie
Lie group namedAfter Sophus Lie
Lie group studiedBy Sophus Lie
Anna Lie spouse Sophus Lie
Anna Lie associatedWith Sophus Lie
Nordfjordeid birthplaceOf Sophus Lie
Georg Scheffers collaboratedWith Sophus Lie
Georg Scheffers studentOf Sophus Lie
Georg Scheffers influencedBy Sophus Lie
Luigi Bianchi influencedBy Sophus Lie