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arXiv · 2106.06517

On primitive axial decomposition algebras of Majorana type with degenerate eigenvalues

Takahiro Yabe
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Abstract

A class of axial decomposition algebras with Miyamoto group generated by two Miyamoto automorphisms and three eigenvalues $0,1$ and $\eta$ is introduced and classified in the case with $\eta\notin\{0,1,\frac{1}{2}\}$. This class includes specializations of 2-generated axial algebras of Majorana type $(\xi,\eta)$ to the case with $\xi=\eta$.

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Takahiro Yabe. 2021-06-11. On primitive axial decomposition algebras of Majorana type with degenerate eigenvalues. https://arxiv.org/abs/2106.06517

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