On a symmetry of the category of integrable modules
| dc.creator | Cook, William J. | |
| dc.creator | Sadowski, Christopher | |
| dc.date | 2009-01-29 | |
| dc.date.accessioned | 2026-07-07T12:36:25Z | |
| dc.date.available | 2026-07-07T12:36:25Z | |
| dc.description | Haisheng Li showed that given a module (W,Y_W(\cdot,x)) for a vertex algebra (V,Y(\cdot,x)), one can obtain a new V-module W^Δ = (W,Y_W(Δ(x)\cdot,x)) if Δ(x) satisfies certain natural conditions. Li presented a collection of such Δ-operators for V=L(k,0) (a vertex operator algebra associated with an affine Lie algebras, k a positive integer). In this paper, for each irreducible L(k,0)-module W, we find a highest weight vector of W^Δ when Δis associated with a miniscule coweight. From this we completely determine the action of these Δ-operators on the set of isomorphism equivalence classes of L(k,0)-modules. | |
| dc.description | 24 pages | |
| dc.identifier | https://arxiv.org/abs/0901.4791 | |
| dc.identifier | http://arxiv.org/abs/0901.4791 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/218085 | |
| dc.subject | Quantum Algebra | |
| dc.subject | 17B10; 17B67; 17B69 | |
| dc.title | On a symmetry of the category of integrable modules | |
| dc.type | text |