Principal subspaces of higher-level standard sl(3)^-modules
| 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 use the theory of vertex operator algebras and intertwining operators to obtain systems of q-difference equations satisfied by the graded dimensions of the principal subspaces of certain level k standard modules for \hat{\goth{sl}(3)}. As a consequence we establish new formulas for the graded dimensions of the principal subspaces corresponding to the highest-weights iΛ_1+(k-i)Λ_2, where 1 \leq i \leq k and Λ_1 and Λ_2 are fundamental weights of \hat{\goth{sl}(3)}. | |
| dc.description | 25 pages; v2: minor revisions | |
| dc.identifier | https://arxiv.org/abs/math/0611540 | |
| dc.identifier | http://arxiv.org/abs/math/0611540 | |
| dc.identifier | J. Pure Appl. Algebra 210 (2007), 559-575 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/155805 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Representation Theory | |
| dc.subject | 17B69, 17B65 | |
| dc.title | Principal subspaces of higher-level standard sl(3)^-modules | |
| dc.type | text |