A duality between $q$-multiplicities in tensor products and $q$-multiplicities of weights for the root systems $B,C$ or $D$
| dc.creator | Lecouvey, Cedric | |
| dc.date | 2004-07-30 | |
| dc.date.accessioned | 2026-07-07T05:10:51Z | |
| dc.date.available | 2026-07-07T05:10:51Z | |
| dc.description | Starting from Jacobi-Trudi's type determinental expressions for the Schur functions corresponding to types $B,C$ and $D,$ we define a natural $q$-analogue of the multiplicity $[V(λ):M(μ)]$ when $M(μ)$ is a tensor product of row or column shaped modules defined by $μ$. We prove that these $q$-multiplicities are equal to certain Kostka-Foulkes polynomials related to the root systems $C$ or $D$. Finally we derive formulas expressing the associated multiplicities in terms of Kostka numbers. | |
| dc.identifier | https://arxiv.org/abs/math/0407522 | |
| dc.identifier | http://arxiv.org/abs/math/0407522 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72059 | |
| dc.subject | Representation Theory | |
| dc.title | A duality between $q$-multiplicities in tensor products and $q$-multiplicities of weights for the root systems $B,C$ or $D$ | |
| dc.type | text |