Fermionic formulas for (k, 3)-admissible configurations
| dc.creator | Feigin, B. | |
| dc.creator | Jimbo, M. | |
| dc.creator | Miwa, T. | |
| dc.creator | Mukhin, E. | |
| dc.creator | Takeyama, Y. | |
| dc.date | 2002-12-27 | |
| dc.date.accessioned | 2026-07-07T04:54:04Z | |
| dc.date.available | 2026-07-07T04:54:04Z | |
| dc.description | We obtain the fermionic formulas for the characters of (k, r)-admissible configurations in the case of r=2 and r=3. This combinatorial object appears as a label of a basis of certain subspace $W(Λ)$ of level-$k$ integrable highest weight module of $\hat{sl}_{r}$. The dual space of $W(Λ)$ is embedded into the space of symmetric polynomials. We introduce a filtration on this space and determine the components of the associated graded space explicitly by using vertex operators. This implies a fermionic formula for the character of $W(Λ)$. | |
| dc.description | 30 pages | |
| dc.identifier | https://arxiv.org/abs/math/0212347 | |
| dc.identifier | http://arxiv.org/abs/math/0212347 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66101 | |
| dc.subject | Quantum Algebra | |
| dc.title | Fermionic formulas for (k, 3)-admissible configurations | |
| dc.type | text |