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Span of Automorphisms


The fields R, C, and H have 1, 2, and 4 degrees of freedom. To represent all possible functional mappings, 1, 2, and 4 automorphic functions are required for each field. Any quaternion function on the R4 manifold can be represented on the manifold H1 using a combination of q, q*, q*1,and q*2.
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