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Affine representation

In mathematics, an affine representation of a topological Lie group G on an affine space A is a continuous (smooth) group homomorphism from G to the automorphism group of A, the affine group Aff(A). Similarly, an affine representation of a Lie algebra g on A is a Lie algebra homomorphism from g to the Lie algebra aff(A) of the affine group of A.

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Explore the main themes, entities and connections around Affine representation. Start with the topic map, then use the sections below for research and deeper semantic analysis.

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Overview

Advanced semantic analysis

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Map overview Semantic statistics

Affine representation

Nodes19
Edges18
Triples0
Avg. degree1.89
Density0.105263
Components1

How this topic connects Entity context

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Important terminology Word statistics

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Important terminology

representation group affine space may lie linear homomorphism aff dimension algebra action mathematics topological continuous smooth automorphism similarly example euclidean

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc

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    Min side: 3
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