Group Gradings and Actions of Pointed Hopf Algebras
Yuri Bahturin, Sjusan Montgomery
TL;DR
This paper investigates how pointed Hopf algebras act on matrix algebras, utilizing the theory of group gradings to understand these actions.
Contribution
It introduces a new approach connecting pointed Hopf algebra actions with group gradings on matrix algebras.
Findings
Characterization of actions of pointed Hopf algebras on matrix algebras
Connection established between Hopf algebra actions and group gradings
New classifications of algebra actions based on gradings
Abstract
We study actions of pointed Hopf algebras on matrix algebras. Our approach is based on known facts about group gradings of matrix algebras.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Nonlinear Waves and Solitons