Surprising properties of centralisers in classical Lie algebras
| dc.creator | Yakimova, Oksana | |
| dc.date | 2008-03-03 | |
| dc.date | 2008-11-24 | |
| dc.date.accessioned | 2026-07-07T10:19:56Z | |
| dc.date.available | 2026-07-07T10:19:56Z | |
| dc.description | Let $g$ be a classical Lie algebra, i.e., either $gl_n$, $sp_n$, or $so_n$ and let $e\in g$ be a nilpotent element. We study various properties of centralisers $g_e$. The first four sections deal with rather elementary questions, like the centre of $g_e$, commuting varieties associated with $g_e$, or centralisers of commuting pairs. The second half of the paper addresses problems related to different Poisson structures on $g_e^*$ and symmetric invariants of $g_e$. | |
| dc.description | Final version, to appear in Ann. Inst. Fourier (Grenoble), v. 59 (2009) | |
| dc.identifier | https://arxiv.org/abs/0803.0285 | |
| dc.identifier | http://arxiv.org/abs/0803.0285 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/174690 | |
| dc.subject | Representation Theory | |
| dc.title | Surprising properties of centralisers in classical Lie algebras | |
| dc.type | text |