Conformal Designs based on Vertex Operator Algebras
| dc.creator | Hoehn, Gerald | |
| dc.date | 2007-01-23 | |
| dc.date.accessioned | 2026-07-07T07:42:39Z | |
| dc.date.available | 2026-07-07T07:42:39Z | |
| dc.description | We introduce the notion of a conformal design based on a vertex operator algebra. This notation is a natural analog of the notion of block designs or spherical designs when the elements of the design are based on self-orthogonal binary codes or integral lattices, respectively. It is shown that the subspaces of fixed degree of an extremal self-dual vertex operator algebra form conformal 11-, 7-, or 3-designs, generalizing similar results of Assmus-Mattson and Venkov for extremal doubly-even codes and extremal even lattices. Other examples are coming from group actions on vertex operator algebras, the case studied first by Matsuo. The classification of conformal 6- and 8-designs is investigated. Again, our results are analogous to similar results for codes and lattices. | |
| dc.description | 35 pages with 1 table, LaTeX | |
| dc.identifier | https://arxiv.org/abs/math/0701626 | |
| dc.identifier | http://arxiv.org/abs/math/0701626 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/122520 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Combinatorics | |
| dc.title | Conformal Designs based on Vertex Operator Algebras | |
| dc.type | text |