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

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

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 characteri...

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Hauptverfasser: Franchi, Clara, Mainardis, Mario
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Mathematics - Rings and Algebras
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description 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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title A note on 2-generated symmetric axial algebras of Monster type
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