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

Leave a comment

Filed under publications

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s