Multiplicities and tensor product coefficients for $A_r$
| dc.creator | Cochet, Charles | |
| dc.date | 2003-06-20 | |
| dc.date.accessioned | 2026-07-07T04:59:05Z | |
| dc.date.available | 2026-07-07T04:59:05Z | |
| dc.description | We apply some recent developments of Baldoni-DeLoera-Vergne on vector partition functions, to Kostant and Steinberg formulas, in the case of $A_r$. We therefore get a fast {\sc Maple} program that computes for $A_r$: the multiplicity $c_{λ,μ}$ of the weight $μ$ in the representation $V(λ)$ of highest weight $λ$; the multiplicity $c_{λ,μ,ν}$ of the representation $V(ν)$ in $V(λ)\otimes V(μ)$. The computation also gives the locally polynomial functions $c_{λ,μ}$ and $c_{λ,μ,ν}$. | |
| dc.identifier | https://arxiv.org/abs/math/0306308 | |
| dc.identifier | http://arxiv.org/abs/math/0306308 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/67844 | |
| dc.subject | Combinatorics | |
| dc.subject | Representation Theory | |
| dc.subject | combinatorics ; computer algebra | |
| dc.title | Multiplicities and tensor product coefficients for $A_r$ | |
| dc.type | text |