A class of twisted partial Hopf actions
Chen Quanguo
TL;DR
This paper introduces a new method for constructing twisted partial Hopf actions using split quaternions and related structures, expanding the class of known examples in Hopf algebra theory.
Contribution
It presents a novel approach to generate numerous examples of twisted partial Hopf actions via specific quaternionic structures.
Findings
Constructed a new class of twisted partial Hopf actions
Utilized split quaternions, semi-quaternions, and 1/4-quaternions
Extended understanding of partial Hopf actions on quaternionic structures
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 -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.
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Taxonomy
TopicsAdvanced Mathematical Theories and Applications · Algebraic and Geometric Analysis · Geometric Analysis and Curvature Flows