Abstract
An affine space X is nothing more than a vector space under the action of the group generated by the linear automorphisms and the translations; this group is called the affine group of X and is denoted by GA(X). Its elements are the (affine) automorphisms of X, or again the affine maps of X into itself. The elements of X are called points
All fields of scalars will be commutative.
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© 1984 Marcel Berger
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Berger, M., Pansu, P., Berry, JP., Saint-Raymond, X. (1984). Affine Spaces. In: Problems in Geometry. Problem Books in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-1836-2_2
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DOI: https://doi.org/10.1007/978-1-4757-1836-2_2
Publisher Name: Springer, New York, NY
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