Symbolic Computations in Higher Dimensional Clifford Algebras
Mathematical Physics
2012-06-19 v1 math.MP
Abstract
We present different methods for symbolic computer algebra computations in higher dimensional (\ge9) 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.
Cite
@article{arxiv.1206.3683,
title = {Symbolic Computations in Higher Dimensional Clifford Algebras},
author = {Rafal Ablamowicz and Bertfried Fauser},
journal= {arXiv preprint arXiv:1206.3683},
year = {2012}
}
Comments
paper accepted for presentation @ AGACSE12, La Rochelle