Meromorphic Tensor Categories, Quantum Affine and Chiral Algebras

摘要

Let A be an associate algebra with the unit over a commutative ring k. Its211u001e'categorical' analog is a monoidal category A, i.e. a k-linear category equipped 211u001ewith a bilinear functor: A(sup 2) -> A which is associative. The category A has 211u001ealso a naturally defined unit object. Similarly, the categorical analog of a 211u001ecommutative associative algebra is a braided category (in this case the authors 211u001ehave functorial isomorphisms X Y -> Y X satisfying natural properties, see 211u001e(De1)).