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Concept information

... > topology > algebraic topology > manifold > differentiable manifold > Lie group > affine group
... > geometry > topological space > manifold > differentiable manifold > Lie group > affine group
geometry > differential geometry > differentiable manifold > Lie group > affine group
topology > differential topology > differentiable manifold > Lie group > affine group
algebra > group theory > topological group > Lie group > affine group
geometry > affine geometry > affine group
geometry > algebraic geometry > algebraic variety > algebraic group > affine group

Terme préférentiel

affine group  

Définition(s)

  • In mathematics, the affine group or general affine group of any affine space is the group of all invertible affine transformations from the space into itself. In the case of a Euclidean space (where the associated field of scalars is the real numbers), the affine group consists of those functions from the space to itself such that the image of every line is a line. Over any field, the affine group may be viewed as a matrix group in a natural way. If the associated field of scalars the real or complex field, then the affine group is a Lie group.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Affine_group)

Concept(s) générique(s)

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http://data.loterre.fr/ark:/67375/PSR-B3K4NQNZ-W

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RDF/XML TURTLE JSON-LD Date de création 18/07/2023, dernière modif. 18/07/2023