On primitive axial algebras of Jordan type
by
Jonathan I. Hall
Yoav Segev
Sergey Shpectorov
Vol. 13 No. 4 (2018) P.397~P.409
DOI: | https://doi.org/10.21915/BIMAS.2018403 |
| 10.21915/BIMAS.2018403 |
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 $\eta$ admit a Frobenius form, for any $\eta$.
KEYWORDS
Axial algebra, 3-transposition, Jordan algebra, Frobenius form
MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 17A99; Secondary: 17C99, 17B69.
MILESTONES
Received: 2017-05-09
Revised : 2017-05-09
Accepted: 2017-09-26
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