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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| Veröffentlicht in: | arXiv.org 2021-01 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
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| Online-Zugang: | Volltext |
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| Zusammenfassung: | 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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| ISSN: | 2331-8422 |
| DOI: | 10.48550/arxiv.2101.09506 |