Clara Franchi

activity

20152026

most citedA note on 2-generated symmetric axial algebras of Monster type

8 citations · 13 across the 9 of their papers we have counts for

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Showing 2021Show all

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math.RA2021★ 8 cited

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 $2$ -generated axial algebras of Monster type. In this note, we construct a new infinite-dimensi…

math.RA2021

2-generated axial algebras of Monster type $(2 β, β)$

Clara Franchi, Mario Mainardis, Sergey Shpectorov

In this paper we prove that $2$ -generated primitive axial algebras of Monster type $(2 β, β)$ over a ring $R$ in which $2$ and $β$ are invertible can be generated as $R$ -module by $…

math.RA2021

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 $(α, β)$ over a field $F$ . Using…

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

2-generated axial algebras of Monster type (2β,β)

2-generated axial algebras of Monster type

2-generated axial algebras of Monster type $(2 β, β)$