/clifford_toolbox

A Mathematica and Matlab toolboxes for Clifford algebras of n-dimensional Euclidean vector spaces

Primary LanguageMathematicaOtherNOASSERTION

Clifford Toolbox for Mathematica and Matlab

This toolbox has been superseeded by: https://github.com/jlaragonvera/Geometric-Algebra

Authors: Aragón-Camarasa, G., Aragón-González, G., Aragon J. L. and Rodriguez-Andrade, M. A.

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Introduction

Clifford Toolbox is a collection of functions for doing general calculations with Clifford Algebra (i.e. Geometric Algebra) of fig6, using Mathematica 9.0 or higher and Matlab R2013a or higher. All results are given in terms of the orthonormal basis vectors fig7.

What are Clifford Algebras?

The Clifford algebra of the vector space fig1, with a bilinear form <x,y> of signature p, q, and an orthonormal basis fig2, i=1,2,...,n (=p+q), is generated by fig3 with the relation

fig4

where

fig5

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