1 citations · 1 across the 2 of their papers we have counts for
4 papers
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…
-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…
Quotients of the Highwater algebra and its cover
Clara Franchi, Mario Mainardis, Justin McInroy
Axial algebras are a class of non-associative algebra with a strong link to finite (especially simple) groups which have recently received much attention. Of primary interest are t…
An infinite-dimensional 2-generated primitive axial algebra of Monster type
Clara Franchi, Mario Mainardis, Sergey Shpectorov
Rehren proved that a primitive 2-generated axial algebra of Monster type has dimension at most eight if . In this note we construct an infinite-dimensiona…