Ablamowicz, Fauser: Using Periodicity Theorems for Computations in Higher Dimensional Clifford Algebras

by Rafal Ablamowicz, Department of Mathematics, TTU, and Bertfried Fauser, School of Computer Science, The University of Birmingham, Edgbaston-Birmingham, Tech Report No. 2012-1, downloadable file 121.99 KB

Abstract. We present different methods for symbolic computer algebra computations in higher dimensional (>=9) Clifford algebras using the CLIFFORD and Bigebra packages for Maple (R) . This is achieved using graded tensor decompositions, periodicity theorems and matrix spinor representations over Clifford numbers. We show how to code the graded algebra isomorphisms and the main involutions, and we provide some benchmarks.

Source: http://www.tntech.edu/math/reports/, http://www.tntech.edu/files/math/TR_2012_1.pdf


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