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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.RA2022
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…
math.RA2020★ 1 cited
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…