International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Article ID 78613, 13 pages

Explicit isomorphisms of real Clifford algebras

N. Değırmencı and Ş. Karapazar

Department of Mathematics, Faculty of Science, Anadolu University, Eskisehir 26470, Turkey

Received 13 March 2005; Revised 6 January 2006; Accepted 27 February 2006

Copyright © 2006 N. Değırmencı and Ş. Karapazar. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


It is well known that the Clifford algebra Clp,q associated to a nondegenerate quadratic form on n (n=p+q) is isomorphic to a matrix algebra K(m) or direct sum K(m)K(m) of matrix algebras, where K=,,. 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.