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Regular version of the site

Article

Unitary spaces on Clifford algebras

Advances in Applied Clifford Algebras. 2008. Vol. 18. No. 2. P. 237-254.
Shirokov D., Marchuk N.

For the complex Clifford algebra  (pq) of dimension n = p + q we define a Hermitian scalar product. This scalar product depends on the signature (pq) 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.