Clifford Algebra - Examples: Real and Complex Clifford Algebras

Examples: Real and Complex Clifford Algebras

The most important Clifford algebras are those over real and complex vector spaces equipped with nondegenerate quadratic forms.

It turns out that every one of the algebras Cp,q(R) and Cn(C) are isomorphic to A or AA, where A is a full matrix ring with entries from R, C, or H. For a complete classification of these algebras see classification of Clifford algebras.

Read more about this topic:  Clifford Algebra

Famous quotes containing the words real, complex and/or clifford:

    I was curious, I was avid to know only what I found more real than myself, that which allowed me to glimpse the thoughts of a great genius, or the force or grace of nature left to its own devices, without the intervention of man.
    Marcel Proust (1871–1922)

    What we do is as American as lynch mobs. America has always been a complex place.
    Jerry Garcia (1942–1995)

    If we keep an open mind, too much is likely to fall into it.
    —Natalie Clifford Barney (1876–1972)