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Lie group action

In differential geometry, a Lie group action is a group action adapted to the smooth setting: G {\displaystyle G} is a Lie group, M {\displaystyle M} is a smooth manifold, and the action map is differentiable.

Structure of the orbit space, Examples & Definition

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Overview

Definition

Properties

Examples

Infinitesimal Lie algebra action

Proper actions

Structure of the orbit space

Advanced semantic analysis

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Map overview Semantic statistics

Lie group action

Nodes51
Edges50
Triples34
Avg. degree1.96
Density0.039216
Components1

How this topic connects Entity context

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Lie group action

Top relations

related to Infinitesimal Lie algebra action · 8
Lie group action → Diff, Following, If, Indeed, Intuitively, Lie, More, The
related to Structure of the orbit space · 7
Lie group action → Given, Hausdorff, However, If, Lie, M/G, The
related to Properties · 6
Lie group action → An, For, Lie, On, This, TP
related to Proper actions · 5
Lie group action → An, Hausdorff, Indeed, Lie, M/G
related to Definition · 4
Lie group action → Diff, Equivalently, Let, Lie
is a · 2
Lie group action → group action adapted to the smooth setting, particular case of a continuous group action
related to Examples · 2
Lie group action → For, Lie

Important terminology Word statistics

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Important terminology

displaystyle lie action group algebra manifold smooth proper mathfrak infinitesimal actions compact sigma subseteq differentiable free map structure orbit space

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Lie group actionis agroup action adapted to the smooth setting0.90text
Lie group actionis aparticular case of a continuous group action0.90text
Lie group actionrelated to DefinitionLet0.60section
Lie group actionrelated to DefinitionLie0.60section
Lie group actionrelated to DefinitionEquivalently0.60section
Lie group actionrelated to DefinitionDiff0.60section
Lie group actionrelated to ExamplesFor0.60section
Lie group actionrelated to ExamplesLie0.60section
Lie group actionrelated to Infinitesimal Lie algebra actionFollowing0.60section
Lie group actionrelated to Infinitesimal Lie algebra actionLie0.60section
Lie group actionrelated to Infinitesimal Lie algebra actionIndeed0.60section
Lie group actionrelated to Infinitesimal Lie algebra actionIntuitively0.60section

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    Min side: 3
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