%AKirkman, E%AZhang, J%BJournal Name: International Mathematics Research Notices; Journal Volume: 2021; Journal Issue: 13 %D2020%I %JJournal Name: International Mathematics Research Notices; Journal Volume: 2021; Journal Issue: 13 %K %MOSTI ID: 10321585 %PMedium: X %TThe Jacobian, Reflection Arrangement and Discriminant for Reflection Hopf Algebras %XAbstract We study finite-dimensional semisimple Hopf algebra actions on noetherian connected graded Artin–Schelter regular algebras and introduce definitions of the Jacobian, the reflection arrangement, and the discriminant in a noncommutative setting. %0Journal Article