Module categories, weak Hopf algebras and modular invariants
arXiv:math/0111139
Abstract
We develop abstract nonsense for module categories over monoidal categories (this is a straightforward categorification of modules over rings). As applications we show that any semisimple monoidal category with finitely many simple objects is equivalent to the category of representations of a weak Hopf algebra (theorem of T. Hayashi) and classify module categories over the fusion category of at a positive integer level where we meet once again ADE classification pattern.
26 pages
References in corpus (3)
Cited by in corpus (21)
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