Zassenhaus varieties of general linear Lie algebras
| dc.creator | Premet, Alexander | |
| dc.creator | Tange, Rudolf | |
| dc.date | 2004-04-27 | |
| dc.date.accessioned | 2026-07-07T05:07:45Z | |
| dc.date.available | 2026-07-07T05:07:45Z | |
| dc.description | Let g be a Lie algebra over an algebraically closed field of characteristic p>0 and let U(g) be the universal enveloping algebra of g. We prove in this paper that for g=gl_n and g=sl_n the centre of U(g) is a unique factorisation domain and its field of fractions is rational. For g=sl_n our argument requires the assumption that p\nmid n while for g=gl_n it works for any p. It turned out that our two main results are closely related to each other. The first one confirms in type ${\rm A}$ a recent conjecture of A.Braun and C.Hajarnavis while the second answers a question of J.Alev. | |
| dc.description | 13 pages | |
| dc.identifier | https://arxiv.org/abs/math/0404488 | |
| dc.identifier | http://arxiv.org/abs/math/0404488 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70985 | |
| dc.subject | Rings and Algebras | |
| dc.subject | Representation Theory | |
| dc.title | Zassenhaus varieties of general linear Lie algebras | |
| dc.type | text |