A note on tensor categories of Lie type $E_9$
| dc.creator | Rowell, Eric C. | |
| dc.date | 2004-06-07 | |
| dc.date | 2005-02-09 | |
| dc.date.accessioned | 2026-07-07T05:08:57Z | |
| dc.date.available | 2026-07-07T05:08:57Z | |
| dc.description | We consider the problem of decomposing tensor powers of the fundamental level 1 highest weight representation $V$ of the affine Kac-Moody algebra $\g(E_9)$. We describe an elementary algorithm for determining the decomposition of the submodule of $\Vn$ whose irreducible direct summands have highest weights which are maximal with respect to the null-root. This decomposition is based on Littelmann's path algorithm and conforms with the uniform combinatorial behavior recently discovered by H. Wenzl for the series $E_N$, $N\not=9$. | |
| dc.description | Final published version | |
| dc.identifier | https://arxiv.org/abs/math/0406122 | |
| dc.identifier | http://arxiv.org/abs/math/0406122 | |
| dc.identifier | J. of Algebra, 284 (2005) no. 1, 296-309 | |
| dc.identifier | doi:10.1016/j.jalgebra.2004.08.014 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/71465 | |
| dc.subject | Representation Theory | |
| dc.subject | Combinatorics | |
| dc.subject | Quantum Algebra | |
| dc.subject | 17B67 (Primary); 17B10; 81R10 (Secondary) | |
| dc.title | A note on tensor categories of Lie type $E_9$ | |
| dc.type | text |