Full centre of an H -module algebra
Alexei Davydov
TL;DR
This paper applies the full centre construction to algebras in module categories over Hopf algebra representations, deriving a compact formula for the full centre of a module algebra over a Hopf algebra.
Contribution
It introduces a new formula for the full centre of a module algebra over a Hopf algebra, extending previous theoretical frameworks.
Findings
Derived a compact formula for the full centre of a Hopf algebra module algebra
Extended the application of the full centre construction to Hopf algebra contexts
Provided insights into the structure of module algebras in representation categories
Abstract
We apply the full centre construction, defined in arXiv:0908.1250, to algebras in and module categories over categories of representations of Hopf algebras. We obtain a compact formula for the full centre of a module algebra over a Hopf algebra.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Homotopy and Cohomology in Algebraic Topology