Center (category theory)

From Wikipedia, the free encyclopedia
  (Redirected from Centre (category))
Jump to: navigation, search

Let be a (strict) monoidal category. The center of , also called the Drinfeld center of [1] and denoted , is the category whose objects are pairs (A,u) consisting of an object A of and a natural isomorphism satisfying

and

(this is actually a consequence of the first axiom).

An arrow from (A,u) to (B,v) in consists of an arrow in such that

.

The category becomes a braided monoidal category with the tensor product on objects defined as

where , and the obvious braiding .

References[edit]