Rationality of the vertex algebra $V_L^+$ when $L$ is a nondegenerate even lattice of arbitrary rank
| dc.creator | Yamskulna, Gaywalee | |
| dc.date | 2008-07-24 | |
| dc.date.accessioned | 2026-07-07T09:52:37Z | |
| dc.date.available | 2026-07-07T09:52:37Z | |
| dc.description | In this paper we prove that the vertex algebra $V_L^+$ is rational if $L$ is a negative definite even lattice of finite rank, or if $L$ is a non-degenerate even lattice of a finite rank that is neither positive definite nor negative definite. In particular, for such even lattices $L$, we show that the Zhu algebras of the vertex algebras $V_L^+$ are semisimple. This extends the result of Abe which establishes the rationality of $V_L^+$ when $L$ is a positive definite even lattice of finite rank. | |
| dc.identifier | https://arxiv.org/abs/0807.3897 | |
| dc.identifier | http://arxiv.org/abs/0807.3897 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/165660 | |
| dc.subject | Quantum Algebra | |
| dc.title | Rationality of the vertex algebra $V_L^+$ when $L$ is a nondegenerate even lattice of arbitrary rank | |
| dc.type | text |