Abstract
In this note we give an overview of our knowledge regarding primitive axial algebras of Jordan type half and connections between 3-transposition groups and Matsuo algebras. We also show that primitive axial algebras of Jordan type η admit a Frobenius form, for any η.
Original language | English |
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Pages (from-to) | 397-409 |
Number of pages | 13 |
Journal | Bulletin of the Institute of Mathematics Academia Sinica New Series |
Volume | 13 |
Issue number | 4 |
DOIs | |
Publication status | Published - 31 Dec 2018 |
Keywords
- Axial algebra
- 3-transposition
- Jordan algebra
- Frobenius form