Skew Axial Algebras of Monster Type

Kavli Affiliate: Michael Turner

| First 5 Authors: Michael Turner, , , ,

| Summary:

Skew axets were first defined by McInroy and Shpectorov where they used the
term of axets to classify shapes of an algebra. When they first submitted their
paper, it was not known if skew axial algebras exist and now we will present
such examples with axet $X'(1+2)$. Looking at $2$-generated primitive axial
algebras of Monster type, we will be able to state and prove the classification
of such algebras with axet $X'(1+2)$. We will conclude by looking at larger
skew axets and give a suggestion on how one could extend the classification.

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