Simon Crawford

activity

20172021

collaborators

3 papers

math.RA2021

Superpotentials and Quiver Algebras for Semisimple Hopf Actions

Simon Crawford

We consider the action of a semisimple Hopf algebra $H$ on an $m$ -Koszul Artin-Schelter regular algebra $A$ . Such an algebra $A$ is a derivation-quotient algebra for some twisted s…

math.RA2019

Actions of Small Groups on Two-Dimensional Artin-Schelter Regular Algebras

Simon Crawford

In commutative invariant theory, a classical result due to Auslander says that if $R = k [x_{1}, \dots, x_{n}]$ and $G$ is a finite subgroup of $\text{Aut}_{\text{gr}}(R) \cong \tex…

math.RA2017

Azumaya skew group algebras and an application to quantum Kleinian singularities

Simon Crawford

We provide easily-verified necessary and sufficient conditions for a skew group ring, or more generally, a crossed product ring, to be an Azumaya algebra. We use our results to sho…