3 papers
math.RA2026
The Classification of the 2-generated Primitive Axial Algebras of Monster Type
Clara Franchi, Mario Mainardis, Justin McInroy +1
Axial algebras of Monster type are a class of commutative algebras generated by special idempotents called axes. Some motivating examples of these algebras are the Griess algebra a…
math.GR2025
-subalgebras of the Griess algebra with alternating Miyamoto group
Clara Franchi, Mario Mainardis
We use Majorana representations to study the subalgebras of the Griess algebra that have shape and whose associated Miyamoto groups are isomorphic to . We prove t…
math.RA2024
2-generated axial algebras of Monster type
Clara Franchi, Mario Mainardis, Sergey Shpectorov
We provide the basic setup for the project, initiated by Felix Rehren, aiming at classifying all 2-generated axial algebras of Monster type over a field . Usin…