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Lie groupoid

In mathematics, a Lie groupoid is a groupoid where the set Ob {\displaystyle \operatorname {Ob} } of objects and the set Mor {\displaystyle \operatorname {Mor} } of morphisms are both manifolds, all the category operations (source and target, composition, identity-assigning map and inversion) are smooth, and the source and target operations

Measurement, Definition and basic concepts & Important classes of Lie groupoids

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Overview

Definition and basic concepts

Examples

Important classes of Lie groupoids

Further related concepts

Morita equivalence

Books

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Map overview Semantic statistics

Lie groupoid

Nodes97
Edges96
Triples124
Avg. degree1.98
Density0.020619
Components1

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Lie groupoid

Top relations

related to Books · 26
Lie groupoid → American Mathematical Society, Cambridge University Press, CBO9780511615450, CBO9780511661839, CBO9781107325883, Crainic, Differential Geometry, Fernandes, Foliations, General Theory, Geometry, Groupoids, Integrability, Introduction, ISBN, Lectures, Lie Algebroids, Lie Brackets, Lie Groupoids, MacKenzie
related to Examples from differential geometry · 17
Lie groupoid → Any, Diff, For, Gamma, Germ, Given, GL, Hausdorff, Hol, If, In, Lie, Mon, On, Pi, The, This
related to Examples · 12
Lie groupoid → Any, As, Given, Isomorphic Lie, Its, Let, Lie, M/G, Morita, The, Two, Two Lie
related to Smooth stacks · 7
Lie groupoid → For, Investigating, Lie, Morita-equivalence, Other, Since, The
related to Actions and principal bundles · 6
Lie groupoid → Accordingly, Equivalent, Given, Lie, Of, Recall
related to Morita equivalence · 6
Lie groupoid → As, First, However, Lie, Morita, We
related to Morita invariance · 6
Lie groupoid → Hausdorff, In, Lie, Many, Morita, On
related to Constructions from other Lie groupoids · 5
Lie groupoid → For, Given, Lie, TG, TM
related to Representations · 5
Lie groupoid → Equivalently, GL, Lie, More, Of
related to Trivial and extreme cases · 5
Lie groupoid → For, Given, Lie, More, The

Important terminology Word statistics

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Important terminology

displaystyle groupoid lie groupoids rightrightarrows groups called smooth given times group one two morita bundle structure transitive defined manifold isotropy

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Lie groupoidis agroupoid where the set Ob0.90text
Lie groupoidrelated to Actions and principal bundlesRecall0.60section
Lie groupoidrelated to Actions and principal bundlesAccordingly0.60section
Lie groupoidrelated to Actions and principal bundlesLie0.60section
Lie groupoidrelated to Actions and principal bundlesOf0.60section
Lie groupoidrelated to Actions and principal bundlesGiven0.60section
Lie groupoidrelated to Actions and principal bundlesEquivalent0.60section
Lie groupoidrelated to BisectionsLie0.60section
Lie groupoidrelated to BisectionsIn0.60section
Lie groupoidrelated to BisectionsThe0.60section
Lie groupoidrelated to BisectionsNote0.60section
Lie groupoidrelated to BooksWeinstein0.60section

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