Morita classes of algebras in modular tensor categories
| dc.creator | Kong, Liang | |
| dc.creator | Runkel, Ingo | |
| dc.date | 2007-08-14 | |
| dc.date | 2008-07-29 | |
| dc.date.accessioned | 2026-07-07T12:45:18Z | |
| dc.date.available | 2026-07-07T12:45:18Z | |
| dc.description | 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. | |
| dc.description | 28 pages, several figures, version to appear in Adv. Math | |
| dc.identifier | https://arxiv.org/abs/0708.1897 | |
| dc.identifier | http://arxiv.org/abs/0708.1897 | |
| dc.identifier | Adv. Math. 219 (2008) 1548-1576 | |
| dc.identifier | doi:10.1016/j.aim.2008.07.004 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/221043 | |
| dc.subject | Category Theory | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Quantum Algebra | |
| dc.subject | 16D90; 18D10; 81T40 | |
| dc.title | Morita classes of algebras in modular tensor categories | |
| dc.type | text |