Explicit isomorphisms of real Clifford algebras
Summary: It is well known that the Clifford algebra Cl\(_{p,q}\) associated to a nondegenerate quadratic form on \(\mathbb R^n(n=p+q)\) is isomorphic to a matrix algebra \(K(m)\) or direct sum \(K(m)\oplus K(m)\) of matrix algebras, where \(K=\mathbb R,\mathbb C,\mathbb H\). On the other hand, there are no explicit expressions for these isomorphisms in literature. In this work, we give a method for the explicit construction of these isomorphisms.
scientific article; zbMATH DE number 5163999