University of Birmingham > Talks@bham > Postgraduate Algebra Seminar > The Annihilator of Primitive Axial Algebras

The Annihilator of Primitive Axial Algebras

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Axial algebras are non-associative commutative algebras generated by axes, which are idempotent elements with fusion law properties. The annihilator of an algebra is the set of elements that produces zero when multiplied by any element of the algebra. In this talk, we will start with an overview of axial algebras before defining some important subalgebras: the radical, the annihilator, and the centre. After stating a couple of lemmas, we will be able to state and prove a new result relating these three subalgebras together, before finishing with corollaries.

This talk is part of the Postgraduate Algebra Seminar series.

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