Full centre of an H -module algebra

2010/01/31 by Alexei Davydov, Davydov, Alexei
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Rings and Algebras (math.RA) #math.CT #math.RA

paper · pdf · doi:10.48550/arxiv.1002.0132

openalex publication_date 2010/01/31 · arxiv created 2010/03/14 · arxiv updated 2010/03/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Centre of an algebra
• Modular invariants for group-theoretical modular data. I

Related

• On Categories associated to a Quasi-Hopf algebra
• Centre of an algebra
• Partial Hopf-Galois theory
• Reflective centers as categories of modules
• Partial Representations of Hopf Algebras