A note on 2-generated symmetric axial algebras of Monster type

Clara Franchi; Mario Mainardis

doi:10.1016/j.jalgebra.2022.01.004

paper

A note on 2-generated symmetric axial algebras of Monster type

arXiv:2101.09506 · doi:10.1016/j.jalgebra.2022.01.004

Abstract

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.

10 pages

References in corpus (1)

An infinite-dimensional 2-generated primitive axial algebra of Monster type