Good l-filtrations for q-GL_3(k)
| dc.creator | Parker, Alison | |
| dc.date | 2005-08-22 | |
| dc.date.accessioned | 2026-07-07T05:22:34Z | |
| dc.date.available | 2026-07-07T05:22:34Z | |
| dc.description | Let $k$ be an algebraically closed field of characteristic $p$, possibly zero, and $G=q$-$\GL_3(k)$, the quantum group of three by three matrices as defined by Dipper and Donkin. We may also take $G$ to be $\GL_3(k)$. We first determine the extensions between simple $G$-modules for both $G$ and $G_1$, the first Frobneius kernel of $G$. We then determine the submodule structure of certain induced modules, $\hat{Z}(λ)$, for the infinitesimal group $G_1B$. We induce this structure to $G$ to obtain a good $l$-filtration of certain induced modules, $\nabla(λ)$, for $G$. We also determine the homomorphisms between induced modules for $G$. | |
| dc.description | 2 figures, 33 pages, uses xypic | |
| dc.identifier | https://arxiv.org/abs/math/0508404 | |
| dc.identifier | http://arxiv.org/abs/math/0508404 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76108 | |
| dc.subject | Representation Theory | |
| dc.subject | Quantum Algebra | |
| dc.subject | 20G42 | |
| dc.title | Good l-filtrations for q-GL_3(k) | |
| dc.type | text |