A class of twisted partial Hopf actions (2507.19761v1)

Abstract: In this paper, we will introduce a novel method for constructing numerous examples of twisted partial Hopf actions. Utilizing split quaternions, split semi-quaternions, and ${1\over4}$-quaternions as our subjects of study, we have obtained a class of twisted partial Hopf actions by examining the twisted partial actions of Sweedler Hopf algebra on these structures.