A construction of some ideals in affine vertex algebras
| dc.creator | Adamovic, Drazen | |
| dc.date | 2001-03-01 | |
| dc.date | 2001-03-04 | |
| dc.date.accessioned | 2026-07-07T04:40:27Z | |
| dc.date.available | 2026-07-07T04:40:27Z | |
| dc.description | Let $N_{k} (\g)$ be a vertex operator algebra (VOA) associated to the generalized Verma module for affine Lie algebra of type $A_{\ell -1} ^{(1)}$ or $C_{\ell} ^{(1)}$. We construct a family of ideals $J_{m,n} (\g)$ in $N_{k} (\g)$, and a family $V_{m,n} (\g)$ of quotient VOAs. These families include VOAs associated to the integrable representations, and VOAs associated to admissible representations at half-integer levels investigated in q-alg/9502015. We also explicitly identify the Zhu's algebras $A(V_{m,n} (\g))$ and find a connection between these Zhu's algebras and Weyl algebras. | |
| dc.description | 10 pages, Latex, minor changes | |
| dc.identifier | https://arxiv.org/abs/math/0103006 | |
| dc.identifier | http://arxiv.org/abs/math/0103006 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/61033 | |
| dc.subject | Quantum Algebra | |
| dc.subject | 17B69, 17B67 | |
| dc.title | A construction of some ideals in affine vertex algebras | |
| dc.type | text |