Title of article :
Periodicity of the Clifford Algebras
Author/Authors :
Askari, B. Islamic Azad University, Ghorveh Branch - Department of Mathematics, ايران , Fattahi, F. Islamic Azad UniversityGhorveh Branch - Department of Mathematics, ايران
Abstract :
In this paper we study the structure of Clifford Algebras Clp,q associated witha non degenerate syrnmetric bilinear form of signature (p, q), where p, q are positive integer. Also we present a description of these algebras as matrix algebras, and then we will discuss the periodicity of these algebras completely. As a consequence,We create the related algebra matrix tables for these algebras, when 0 =p = 8 and 8 q 13. We also present an isomorphism between Cl0,p,q and Cl0,p,q.
Keywords :
Tensor algebra , Exterior algebra , Clifford algebra , Quadratic form , Bilinear form.
Journal title :
Mathematical Sciences
Journal title :
Mathematical Sciences