Beyond Rouquier partitions
| dc.creator | Tan, Kai Meng | |
| dc.date | 2005-06-01 | |
| dc.date | 2006-09-18 | |
| dc.date.accessioned | 2026-07-07T06:40:09Z | |
| dc.date.available | 2026-07-07T06:40:09Z | |
| dc.description | We obtain closed formulas, in terms of Littlewood-Richardson coefficients, for the canonical basis elements of the Fock space representation of $U_v(\hat{\mathfrak{sl}}_e)$ which are labelled by partitions having 'locally small' $e$-quotients and arbitrary $e$-cores. We further show that, upon evaluation at $v=1$, this gives the corresponding decomposition numbers of the $q$-Schur algebras in characteristic $l$ (where $q$ is a primitive $e$-th root of unity if $l \ne e$ and $q=1$ otherwise) whenever $l$ is greater than the size of each constituent of the $e$-quotient. | |
| dc.description | 17 pages. This replaces the earlier version entitled 'Some decomposition numbers of q-Shcur algebras | |
| dc.identifier | https://arxiv.org/abs/math/0506009 | |
| dc.identifier | http://arxiv.org/abs/math/0506009 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/101323 | |
| dc.subject | Representation Theory | |
| dc.subject | Quantum Algebra | |
| dc.subject | 17B37; 20C08 | |
| dc.title | Beyond Rouquier partitions | |
| dc.type | text |