Intertwining vertex operators and certain representations of sl(n)^
| dc.creator | Calinescu, Corina | |
| dc.date | 2006-11-17 | |
| dc.date | 2008-02-28 | |
| dc.date.accessioned | 2026-07-07T09:23:38Z | |
| dc.date.available | 2026-07-07T09:23:38Z | |
| dc.description | We study the principal subspaces, introduced by B. Feigin and A. Stoyanovsky, of the level 1 standard modules for $\hat{\goth{sl}(l+1)}$ with $l \geq 2$. In this paper we construct exact sequences which give us a complete set of recursions that characterize the graded dimensions of the principal subspaces of these representations. This problem can be viewed as a continuation of a new program to obtain Rogers-Ramanujan-type recursions, which was initiated by S. Capparelli, J. Lepowsky and A. Milas. In order to prove the exactness of the sequences we use intertwining vertex operators and we supply a proof of the completeness of a list of relations for the principal subspaces. By solving these recursions we recover the graded dimensions of the principal subspaces, previously obtained by G. Georgiev using a different method. | |
| dc.description | 38 pages; v2: an error corrected, other minor changes | |
| dc.identifier | https://arxiv.org/abs/math/0611534 | |
| dc.identifier | http://arxiv.org/abs/math/0611534 | |
| dc.identifier | Comm. in Contemp. Math. 10 (2008), 47-79 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/155804 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Representation Theory | |
| dc.subject | 17B69, 17B65 | |
| dc.title | Intertwining vertex operators and certain representations of sl(n)^ | |
| dc.type | text |