Skew Axial Algebras of Monster Type

Abstract: Given a 2-generated primitive axial algebra of Monster Type, it has been shown that it has an axet which is regular or skew. With all the known examples being regular, it was proposed if any axial algebra were skew and if so, can they be classified. We will begin by defining axial algebras and axets, before producing examples of axial algebras with skew axets. We will finish by stating the complete classification of these skew axial algebras and mention how it was proven.

quantum algebrarings and algebras

Audience: researchers in the topic

European Non-Associative Algebra Seminar