The weighted fusion category algebra and the q-Schur algebra for \mathrm{GL}_2(q)
| dc.creator | Park, Sejong | |
| dc.date | 2007-11-10 | |
| dc.date.accessioned | 2026-07-07T08:42:16Z | |
| dc.date.available | 2026-07-07T08:42:16Z | |
| dc.description | We show that the weighted fusion category algebra of the principal 2-block $b_0$ of $\mathrm{GL}_2(q)$ is the quotient of the $q$-Schur algebra $\mathcal{S}_2(q)$ by its socle, for $q$ an odd prime power. As a consequence, we get a canonical bijection between the set of isomorphism classes of simple $k\mathrm{GL}_2(q)b_0$-modules and the set of conjugacy classes of $b_0$-weights in this case. | |
| dc.description | 8 pages, 2 figures, to appear in Journal of Algebra | |
| dc.identifier | https://arxiv.org/abs/0711.1622 | |
| dc.identifier | http://arxiv.org/abs/0711.1622 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/141904 | |
| dc.subject | Representation Theory | |
| dc.subject | 20C20; 20J05 | |
| dc.title | The weighted fusion category algebra and the q-Schur algebra for \mathrm{GL}_2(q) | |
| dc.type | text |