Index and stable linear forms of Lie algebras
| dc.creator | Tauvel, Patrice | |
| dc.creator | Yu, Rupert W. T. | |
| dc.date | 2003-02-05 | |
| dc.date.accessioned | 2026-07-07T04:54:55Z | |
| dc.date.available | 2026-07-07T04:54:55Z | |
| dc.description | We characterize, in a purely algebraic manner, certain linear forms, called stable, on a Lie algebra. As an application, we determine the index of a Borel subalgebra of a semi-simple Lie algebra. Finally, we give an example of a parabolic subalgebra of a semi-simple Lie algebra which does not admit any stable linear form. | |
| dc.description | This paper is written in French | |
| dc.identifier | https://arxiv.org/abs/math/0302048 | |
| dc.identifier | http://arxiv.org/abs/math/0302048 | |
| dc.identifier | Journal of Algebra 273 (2004) 507-516 | |
| dc.identifier | doi:10.1016/S0021-8693(03)00376-4 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66446 | |
| dc.subject | Representation Theory | |
| dc.subject | 17B45; 17B20 | |
| dc.title | Index and stable linear forms of Lie algebras | |
| dc.type | text |