Inequalities for spinor norms in Clifford algebras

In hypercomplex analysis one considers mappings from the euclidean space Rn to its Clifford algebra Rn, where an inequality |uv| ≤ Kn |u||v| holds for u, v in Rn. In this paper the smallest possible value of the constant Kn is determined. As a byproduct the authors present a more detailed description of the faithful matrix representations of Clifford algebras, which might also be useful for other purposes. (author). 8 refs