On products of sl_n characters and support containment
| dc.creator | Dobrovolska, Galyna | |
| dc.creator | Pylyavskyy, Pavlo | |
| dc.date | 2006-08-04 | |
| dc.date.accessioned | 2026-07-07T07:21:25Z | |
| dc.date.available | 2026-07-07T07:21:25Z | |
| dc.description | Let $λ$, $μ$, $ν$ and $ρ$ be dominant weights of $\mathfrak{sl_n}$ satisfying $λ+ μ= ν+ ρ$. Let $V_λ$ denote the highest weight module corresponding to $λ$. Lam, Postnikov, Pylyavskyy conjectured a sufficient condition for $V_λ \otimes V_μ$ to be contained in $V_ν \otimes V_ρ$ as $\mathfrak{sl_n}$-modules. In this note we prove a weaker version of the conjecture. Namely we prove that under the conjectured conditions every irreducible $\mathfrak{sl_n}$-module which appears in the decomposition of $V_λ \otimes V_μ$ does appear in the decomposition of $V_ν \otimes V_ρ$. | |
| dc.description | 9 pages, 5 figures | |
| dc.identifier | https://arxiv.org/abs/math/0608134 | |
| dc.identifier | http://arxiv.org/abs/math/0608134 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/115297 | |
| dc.subject | Combinatorics | |
| dc.subject | Representation Theory | |
| dc.subject | 05E05 | |
| dc.title | On products of sl_n characters and support containment | |
| dc.type | text |