Glossary

Geometric algebra: Mathematical framework based around the geometric product, relying on an exterior algebra to construct entities of geometric significance.

Geometric space: Mathematical space defined with objects and a geometric product satisfying the axioms of geometric algebra, using a metric defined by a custom signature. Usually described as an algebra in most presentations of geometric algebra, e.g. PGA or CGA, even though different "algebras" are still algebraically very similar, as they use the same rules - just a different base space and metric.

Signature: Parameter of a geometric space determining the scalar value of the square of its basis vectors under the geometric product.