On the index of certain Lie algebras
| dc.creator | Tauvel, Patrice | |
| dc.creator | Yu, Rupert W. T. | |
| dc.date | 2003-11-07 | |
| dc.date | 2004-02-05 | |
| dc.date.accessioned | 2026-07-07T05:02:42Z | |
| dc.date.available | 2026-07-07T05:02:42Z | |
| dc.description | We give an upper bound for the index of certain Lie algebras, called of seaweed type, introduced by V. Dergachev, A. Kirillov and D. Panyushev. We deduce from this a conjecture of D. Panyushev stated in "Inductive formulas for the index of seaweed Lie algebra, Moscow Math. Journal (2001) 221-241". We conjecture that our upper bound gives in fact a formula for the index of such Lie algebras, and we prove it in certain cases. Finally, we obtain a result concerning the index of parabolic subalgebras of a semisimple Lie algebra. | |
| dc.description | This paper is written in French. There is an english abstract. This second version contains minor corrections | |
| dc.identifier | https://arxiv.org/abs/math/0311104 | |
| dc.identifier | http://arxiv.org/abs/math/0311104 | |
| dc.identifier | Annales de l'Institut Fourier, 54 (2004) 1793-1810 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69113 | |
| dc.subject | Representation Theory | |
| dc.subject | 17B05; 17B20 | |
| dc.title | On the index of certain Lie algebras | |
| dc.type | text |