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Grassmann Algebra

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ExploringHypercomplex<strong>Algebra</strong>.nb 20<br />

��X� � a 2 �Α���� Α �Β���� Β �Γ���� Γ � …<br />

m m k k p p<br />

It is only in 3-space that we are guaranteed that all the components of a <strong>Grassmann</strong><br />

number are simple. Therefore it is only in 3-space that we are guaranteed that the norm<br />

of a <strong>Grassmann</strong> number under the hypercomplex product is scalar.<br />

11.8 Octonions<br />

To be completed<br />

2001 4 26

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