Computing invariants and semi-invariants by means of Frobenius Lie algebras
| dc.creator | Ooms, Alfons I. | |
| dc.date | 2008-06-25 | |
| dc.date.accessioned | 2026-07-07T09:46:42Z | |
| dc.date.available | 2026-07-07T09:46:42Z | |
| dc.description | Let U(L) be the enveloping algebra of a finite dimensional Lie algebra L over a field k of characteristic zero, Z(U(L)) its center and Sz(U(L)) its semicenter. A sufficient condition is given in order for Sz(U(L)) to be a polynomial algebra over k. Surprisingly, this condition holds for many Lie algebras, especially among those for which the radical is nilpotent, in which case Sz(U(L))=Z(U(L)). In particular, it allows the explicit description of Z(U(L)) for more than half of all complex, indecomposable nilpotent Lie algebras of dimension at most 7. | |
| dc.description | 35 pages | |
| dc.identifier | https://arxiv.org/abs/0806.4178 | |
| dc.identifier | http://arxiv.org/abs/0806.4178 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/163620 | |
| dc.subject | Representation Theory | |
| dc.subject | 17B35, 15A72 | |
| dc.title | Computing invariants and semi-invariants by means of Frobenius Lie algebras | |
| dc.type | text |