Nakayama automorphism and applications
Jiafeng Lu, Xuefeng Mao, James J. Zhang
TL;DR
This paper explores the Nakayama automorphism's role in analyzing group and Hopf algebra actions on Artin-Schelter regular algebras of dimension three, providing insights into their structure and symmetries.
Contribution
It introduces new applications of Nakayama automorphism in understanding symmetries of specific noncommutative algebras.
Findings
Characterization of automorphisms in dimension three algebras
Insights into symmetry properties of Artin-Schelter regular algebras
Applications to group and Hopf algebra actions
Abstract
Nakayama automorphism is used to study group actions and Hopf algebra actions on Artin-Schelter regular algebras of global dimension three.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Homotopy and Cohomology in Algebraic Topology