ar X iv : m at h / 05 01 55 6 v 1 [ m at h . D G ] 3 1 Ja n 20 05 Geometric Algebras
نویسنده
چکیده
This is the first paper in a series of three where we develope a systematic approach to the geometric algebras of multivectors and ex-tensors. The series is followed by another one where those algebraic concepts are used in a novel presentation of the differential geometry of (smooth) manifolds of arbitrary global topology. The key calcu-lational tool in our program is the euclidean geometrical algebra of multivectors that is detailed in the present paper.
منابع مشابه
ar X iv : m at h / 05 01 55 7 v 1 [ m at h . D G ] 3 1 Ja n 20 05 Metric and Gauge Extensors
In this paper, the second in a series of three we continue our development of the basic tools of the multivector and extensor calculus. We introduce metric and gauge extensors, orthogonal metric extensor, gauge bases tetrad bases and prove the remarkable golden formula, which permit us to view any Clifford algebra Cℓ(V, G) as a deformation of the euclidean Clifford algebra Cℓ(V, G E) discussed ...
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