Some New Wedge Products

Authors: Martin Erik Horn

Quarks are described mathematically by (3 x 3) matrices. To include these quarkonian mathematical structures into Geometric Algebra it is helpful to restate Geometric Algebra in the mathematical language of (3 x 3) matrices. It will be shown in this paper how (3 x 3) permutation matrices can be interpreted as unit vectors. Special emphasis will be given to the definition of some wedge products which fit better to this algebra of (3 x 3) matrices than the usual Geometric Algebra wedge product. And as S3 permutation symmetry is flavour symmetry a unifi ed flavour picture of Geometric Algebra will emerge.

Comments: 25 Pages. 6 Figures.

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Submission history

[v1] 2013-01-28 04:43:38

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