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arXiv · 2101.09506

A note on 2-generated symmetric axial algebras of Monster type

Clara Franchi·Mario Mainardis
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Abstract

Recently Takahiro Yabe gave an almost complete classification of primitive symmetric $2$-generated axial algebras of Monster type. In this note, we construct a new infinite-dimensional primitive $2$-generated symmetric axial algebra of Monster type $(2, \frac{1}{2})$ over a field of characteristic $5$, and use this algebra to complete the last case left open.

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Clara Franchi, Mario Mainardis. 2021-01-23. A note on 2-generated symmetric axial algebras of Monster type. https://doi.org/10.1016/j.jalgebra.2022.01.004

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