affine group

- group, ∞-group
- group object, group object in an (∞,1)-category
- abelian group, spectrum
- group action, ∞-action
- representation, ∞-representation
- progroup
- homogeneous space

Given an affine space underlying a vector space $V$, then its *affine group* is its group of automorphisms, i.e. the semidirect product group

$Aff(V) = V \rtimes GL(V)$

of the translation group of $V$ and the general linear group of $V$.

Last revised on January 1, 2015 at 20:53:39. See the history of this page for a list of all contributions to it.