Maple Worksheets created with CLIFFORD/Bigebra

The worksheets posted below have been created with Maple 13 Classic Interface and CLIFFORD package ver. 13 in support of the following paper:

• [1] R. Ablamowicz and B. Fauser, Using Periodicity Theorems for Computations in Higher Dimensial Clifford Algebras (2012) (presented at AGACSE 2012)

The CLIFFORD package is a free Maple add-on package which can be downloaded from http://math.tntech.edu/rafal/ for various versions of Maple Computer Algebra System. To run these worksheets, you must install CLIFFORD ver. 13 (or later) according to the posted instructions. Each worksheet also can be viewed as a pdf file. A brief description of each worksheet is included in the listing below.

NOTE: To open and execute Maple worksheets displayed below, use CLIFFORD ver. 13.3 library for Maple 13 or higher.

• cmulGTensor.mw, cmulGTensor.pdf [12 pages] - this worksheet shows how to compute in Cl(p+r,q+s) = Cl(p,q) \hat{\otensor} Cl(r,s)
• cmulTensor11.mw, cmulTensor11.pdf [13 pages] - this worksheet shows how to compute in Cl(V_1 \oplus V_2, Q_1 \perp Q_2) = Cl(V_1,\frac{1}{\lambda}Q_1) \otensor Cl(V_2,Q_2) where $\lambda = \omega^2$ and $\omega$ is a volume element (unit pseudoscalar) in Cl(V_2,Q_2)
• G82.mws, G82.pdf [29 pages] - this worksheet shows how to compute in the Clifford algebra Cl(8,2) = Mat(2,Cl(7,1)) using the isomorphism theorem Cl(p+1,q+1) = Mat(2,Cl(p,q))
• Walshpackage.m - a Maple data file read in by some of these worksheets, e.g., G82.mws. It contains some additional procedures in the Walsh package. The Walshpackage is part of CLIFFORD ver. 16.

Last revised: December 9, 2012