Morita classes of algebras in modular tensor categories

Details Morita classes of algebras in modular tensor categories Morita classes of algebras in modular tensor categories

2007-08-14

arxiv.org/abs/0708.1897v2

Adv. Math. 219 (2008) 1548-1576

Mathematics

Category Theory

28 pages, several figures, version to appear in Adv. Math

Scientific paper

10.1016/j.aim.2008.07.004

We consider algebras in a modular tensor category C. If the trace pairing of an algebra A in C is non-degenerate we associate to A a commutative algebra Z(A), called the full centre, in a doubled version of the category C. We prove that two simple algebras with non-degenerate trace pairing are Morita-equivalent if and only if their full centres are isomorphic as algebras. This result has an interesting interpretation in two-dimensional rational conformal field theory; it implies that there cannot be several incompatible sets of boundary conditions for a given bulk theory.

Affiliated with

Also associated with

No associations

Rating

Morita classes of algebras in modular tensor categories does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Morita classes of algebras in modular tensor categories, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Morita classes of algebras in modular tensor categories will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-389603