Centre of an algebra

Details Centre of an algebra Centre of an algebra

2009-08-09

arxiv.org/abs/0908.1250v2

Mathematics

Category Theory

Scientific paper

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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