On axial algebras with $3$ eigenvalues
Rings and Algebras
2024-10-04 v1
Abstract
We study axial algebras, that is, commutative non-associative algebras generated by idempotents whose adjoint actions are semisimple and obey a fusion law. Considering the case, when said adjoint actions having eigenvalues and the fusion law is the least restrictive, we describe -generated and -generated algebras and prove some of their general properties.
Cite
@article{arxiv.2410.02034,
title = {On axial algebras with $3$ eigenvalues},
author = {Vsevolod A. Afanasev},
journal= {arXiv preprint arXiv:2410.02034},
year = {2024}
}
Comments
20 pages