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.

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