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4 votes

Function theory of a hyperbolic variable

The problem is that "adjoining" a "number" $j$ to $\mathbb R$ such that $j^2=+1$ rather than $i^2=-1$ gives, by Sun-Ze's theorem, $$ \mathbb R[j] \approx \mathbb R[x]/\langle x^2-1\rangle \approx \mat …
paul garrett's user avatar
0 votes

The name of special 16-dimensional hypercomplex number

Isn't this an example of a Clifford algebra attached to a quadratic form? It seems so to me, though maybe the intention has some quirks... but, if so, it is certainly associative, and its structure as …
paul garrett's user avatar