Affine Group

In mathematics, the affine group or general affine group of any affine space over a field K is the group of all invertible affine transformations from the space into itself.

It is a Lie group if K is the real or complex field or quaternions.

Read more about Affine Group:  Matrix Representation, Planar Affine Group

Famous quotes containing the word group:

    The poet who speaks out of the deepest instincts of man will be heard. The poet who creates a myth beyond the power of man to realize is gagged at the peril of the group that binds him. He is the true revolutionary: he builds a new world.
    Babette Deutsch (1895–1982)