Schur-Weyl duality for higher levels
| dc.creator | Brundan, Jonathan | |
| dc.creator | Kleshchev, Alexander | |
| dc.date | 2006-05-09 | |
| dc.date | 2008-08-08 | |
| dc.date.accessioned | 2026-07-07T12:23:50Z | |
| dc.date.available | 2026-07-07T12:23:50Z | |
| dc.description | We extend Schur-Weyl duality to an arbitrary level $l \geq 1$, the case $l=1$ recovering the classical duality between the symmetric and general linear groups. In general, the symmetric group is replaced by the degenerate cyclotomic Hecke algebra over $\C$ parametrized by a dominant weight of level $l$ for the root system of type $A_\infty$. As an application, we prove that the degenerate analogue of the quasi-hereditary cover of the cyclotomic Hecke algebra constructed by Dipper, James and Mathas is Morita equivalent to certain blocks of parabolic category $\mathcal{O}$ for the general linear Lie algebra. | |
| dc.description | 50 pages; v3: final version (no major changes) | |
| dc.identifier | https://arxiv.org/abs/math/0605217 | |
| dc.identifier | http://arxiv.org/abs/math/0605217 | |
| dc.identifier | Selecta Math. 14 (2008), 1-57 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/214132 | |
| dc.subject | Representation Theory | |
| dc.subject | Quantum Algebra | |
| dc.subject | 17B20 | |
| dc.title | Schur-Weyl duality for higher levels | |
| dc.type | text |