Titlebook: Applications of Geometric Algebra in Computer Science and Engineering; Leo Dorst,Chris Doran,Joan Lasenby Book 2002 Springer Science+Busin

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Point Groups and Space Groups in Geometric AlgebraGeometric algebra provides the essential foundation for a new approach to symmetry groups. Each of the 32 lattice point groups and 230 space groups in three dimensions is generated from a set of three .. This greatly facilitates representation, analysis and application of the groups to molecular modeling and crystallography.

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Geometric and Algebraic Canonical FormsWe describe some of the applications of Finite Geometry to Clifford Algebras, and then look in more detail at some of the relations between geometrical and algebraic canonical forms. Much of this latter work has been investigated using computer algebra systems, and we include some details of this, along with some of the issues that arise.

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978-1-4612-6606-8Springer Science+Business Media New York 2002

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