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.
|Number of pages||13|
|Journal||Bulletin of the Institute of Mathematics Academia Sinica New Series|
|Publication status||Published - 31 Dec 2018|
- Axial algebra
- Jordan algebra
- Frobenius form