  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 superpotential $\mathsf{w}$, and
we show that the homological determinant of the action of $H$ on $A$ can be
easily calculated using $\mathsf{w}$. Using this, we show that the smash
product $A\,\#\,H$ is also a derivation-quotient algebra, and use this to
explicitly determine a quiver algebra $\Lambda$ to which $A\,\#\,H$ is Morita
equivalent, generalising a result of Bocklandt-Schedler-Wemyss. We also show
how $\Lambda$ can be used to determine whether the Auslander map is an
isomorphism. We compute a number of examples, and show how several results for
the quantum Kleinian singularities studied by Chan-Kirkman-Walton-Zhang follow
using our techniques.
