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From Quaternions to Pentarnions I: Algebra, geometry, and a spin model
We introduce a family of five-dimensional non-flexible quadratic real algebras $\{\mathcal A_γ\}_{0\leqγ\leq1}$ with canonical basis $1,i,j,k,\ell$, in which $γ$ changes the multiplication but not their norm, and study how this change affects geometry and dynamics. The algebras are pairwise non-isom
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