1. References

2. External links

In mathematics, a Grassmann–Cayley algebra is the exterior algebra with an additional product, which may be called the shuffle product or the regressive product.{{refn|

It is the most general structure in which projective properties are expressed in a coordinate-free way.{{refn|

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The technique is based on work by German mathematician Hermann Grassmann on exterior algebra, and subsequently by British mathematician Arthur Cayley's work on matrices and linear algebra.

It is a form of modeling algebra for use in projective geometry.{{cn|date=September 2017}}

The technique uses subspaces as basic elements of computation, a formalism which allows the translation of synthetic geometric statements into invariant algebraic statements. This can create a useful framework for the modeling of conics and quadrics among other forms, and in tensor mathematics. It also has a number of applications in robotics, particularly for the kinematical analysis of manipulators.

References

External links

• [https://staff.science.uva.nl/l.dorst/clifford/faq.html Geometric Algebra FAQ]

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