Unitary Spaces on Clifford Algebras
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For the complex Clifford algebra Open image in new window (p, q) of dimension n = p + q we define a Hermitian scalar product. This scalar product depends on the signature (p, q) of Clifford algebra. So, we arrive at unitary spaces on Clifford algebras. With the aid of Hermitian idempotents we suggest a new construction of, so called, normal matrix representations of Clifford algebra elements. These representations take into account the structure of unitary space on Clifford algebra.
Mathematics Subject Classification (2000).Primary 15A66
Keywords.Clifford algebra unitary space commutator Hermitian idempotents matrix representations
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