2012/06/16 by Rafal Ablamowicz, Ablamowicz, Rafal, Bertfried Fauser +1
Mathematics · Physics and Astronomy · #11E88 #15A66 #65D19 #97N80 #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP #msc:11E88 #msc:15A66 #msc:65D19 #msc:97N80
paper · pdf · doi:10.48550/arxiv.1206.3683
paper accepted for presentation @ AGACSE12, La Rochelle
arxiv created 2012/06/16 · arxiv updated 2012/06/19
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.