The Kostant form of $\mathfrak{U}(sl_n^+)$ and the Borel subalgebra of the Schur algebra S(n,r)
| dc.creator | Santana, Ana Paula | |
| dc.creator | Yudin, Ivan | |
| dc.date | 2008-03-31 | |
| dc.date.accessioned | 2026-07-07T09:29:24Z | |
| dc.date.available | 2026-07-07T09:29:24Z | |
| dc.description | Let $A_n(K)$ be the Kostant form of $\mathfrak{U}(sl_n^+)$ and $Γ$ the monoid generated by the positive roots of $sl_n$. For each $λ\in Λ(n,r)$ we construct a functor $F_λ$ from the category of finitely generated $Γ$-graded $A_n(K)$-modules to the category of finite dimensional $S^+(n,r)$-modules, with the property that $F_λ$ maps (minimal) projective resolutions of the one-dimensional $A_n(K)$-module $K_{A}$ to (minimal) projective resolutions of the simple $S^+(n,r)$-module $K_λ$. | |
| dc.description | 38 pages | |
| dc.identifier | https://arxiv.org/abs/0803.4382 | |
| dc.identifier | http://arxiv.org/abs/0803.4382 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/157770 | |
| dc.subject | Representation Theory | |
| dc.subject | Rings and Algebras | |
| dc.subject | 16G99; 16E05; 16E60 | |
| dc.title | The Kostant form of $\mathfrak{U}(sl_n^+)$ and the Borel subalgebra of the Schur algebra S(n,r) | |
| dc.type | text |