Geometric Algebras

Details Geometric Algebras Geometric Algebras

2005-01-31

arxiv.org/abs/math/0501556v4

Mathematics

Differential Geometry

Scientific paper

This is the first paper in a series of eight where in the first three we develop a systematic approach to the geometric algebras of multivectors and extensors, followed by five papers where those algebraic concepts are used in a novel presentation of several topics of the differential geometry of (smooth) manifolds of arbitrary global topology. A key tool for the development of our program is the mastering of the euclidean geometrical algebra of multivectors that is detailed in the present paper.

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