Clifford algebra

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In mathematics, Clifford algebras are a type of associative algebra. As K-algebras, they generalize the real numbers, complex numbers, quaternions and several other hypercomplex number systems.

Description

The theory of Clifford algebras is intimately connected with the theory of quadratic forms and orthogonal transformations.

Clifford algebras have important applications in a variety of fields including geometry, theoretical physics and digital image processing.

They are named after the English geometer William Kingdon Clifford.

The most familiar Clifford algebra, or orthogonal Clifford algebra, is also referred to as Riemannian Clifford algebra.

See also

External links