Centre of an algebra
Category Theory
2010-01-31 v2 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.0908.1250,
title = {Centre of an algebra},
author = {Alexei Davydov},
journal= {arXiv preprint arXiv:0908.1250},
year = {2010}
}