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arXiv · 0908.1250

Centre of an algebra

Alexei Davydov
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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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Alexei Davydov. 2009-08-09. Centre of an algebra. https://arxiv.org/abs/0908.1250

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