Centre of an algebra

2009/08/09 by Alexei Davydov, Davydov, Alexei · 2 citations
Mathematics · Physics and Astronomy · #Category Theory (math.CT) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.CT #math.MP

paper · pdf · doi:10.48550/arxiv.0908.1250

arxiv created 2010/01/31 · arxiv updated 2010/02/08

Abstract

Motivated by algebraic structures appearing in Rational Conformal Field Theory we study a construction associating to an algebra in a monoidal category a commutative algebra (\em full centre) in the monoidal centre of the monoidal category. We establish Morita invariance of this construction by extending it to module categories. As an example we treat the case of group-theoretical categories.

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• The Symmetry Taco: Equivalences between Gapped, Gapless, and Mixed-State SPTs
• Full centre of an H -module algebra

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