Hopf algebra actions and transfer of Frobenius and symmetric properties
DOI:
https://doi.org/10.7146/math.scand.a-115970Abstract
If $H$ is a finite-dimensional Hopf algebra acting on a finite-dimensional algebra $A$, we investigate the transfer of the Frobenius and symmetric properties through the algebra extensions $A^H\subset A\subset A\mathbin{\#} H$.