**P. Puska
Electromagnetics lab., Helsinki U. of Tech., Finland**

Strictly speaking Gibbs-Heaviside (GH) vector algebra is not an algebra,
but rather a combination of cross product algebra
(an example of Lie algebra) and a scalar product.
However, GH 'algebra' is
contained in Clifford algebra
generated by

In we can build a model of GH 'algebra' by making the identification

and using the identity relating the traditional cross-product and exterior product (denoted by wedge) of :

whenever