8 citations · 13 across the 9 of their papers we have counts for
9 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…
A note on 2-generated symmetric axial algebras of Monster type
Clara Franchi, Mario Mainardis
Recently Takahiro Yabe gave an almost complete classification of primitive symmetric -generated axial algebras of Monster type. In this note, we construct a new infinite-dimensi…
2-generated axial algebras of Monster type
Clara Franchi, Mario Mainardis, Sergey Shpectorov
In this paper we prove that -generated primitive axial algebras of Monster type over a ring in which and are invertible can be generated as -module by $…
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 . Using…
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…
-Majorana Representations of
Clara Franchi, Alexander A. Ivanov, Mario Mainardis
Majorana representations have been introduced by Ivanov in order to provide an axiomatic framework for studying the actions on the Griess algebra of the Monster and of its subgroup…
Finite group actions and cyclic branched covers of knots in
Michel Boileau, Clara Franchi, Mattia Mecchia +2
We show that a hyperbolic -manifold can be the cyclic branched cover of at most fifteen knots in . This is a consequence of a general result about finite groups of…