2013•viXraRequires access
The Geometric Product and Derived Products
Eckhard Hitzer
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Abstract
The aim of this work is to show how the geometric product of multivectors is defined in general, extending the basic geometric product of vectors given by Clifford. An alternative definition of Clifford geometric algebra, that guarantees existence as quotient algebra of the tensor algebra was given by Chevalley in 1954.[2] We further treat the scalar product, the outer product, the cross product in three dimensions, linear dependence and independence, as well as right- and left contractions. !#$%