In mathematics, quaternionic projective space is an extension of the ideas of real projective space and complex projective space, to the case where coordinates lie in the ring of quaternions H. Quaternionic projective space of dimension n is usually denoted by
and is a closed manifold of (real) dimension 4n. It is a homogeneous space for a Lie group action, in more than one way.
Read more about Quaternionic Projective Space: In Coordinates, Projective Line, Infinite-dimensional Quaternionic Projective Space, Quaternionic Projective Plane
Famous quotes containing the word space:
“A set of ideas, a point of view, a frame of reference is in space only an intersection, the state of affairs at some given moment in the consciousness of one man or many men, but in time it has evolving form, virtually organic extension. In time ideas can be thought of as sprouting, growing, maturing, bringing forth seed and dying like plants.”
—John Dos Passos (1896–1970)