Skew Axial Algebras of Monster Type

Kavli Affiliate: Michael Turner

| 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 these skew axial algebras exist and now we will
present such examples of 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 that have axet $X'(1+2)$. We will then conclude
by looking at larger $k$ and give a suggestion on how one could extend the
classification to odd $k$.

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