Structure Theory for One Class of Locally Finite Lie Algebras
| dc.creator | Simonian, L. A. | |
| dc.date | 2003-10-14 | |
| dc.date.accessioned | 2026-07-07T05:01:54Z | |
| dc.date.available | 2026-07-07T05:01:54Z | |
| dc.description | In this paper I consider locally finite Lie algebras of characteristic zero satisfying the condition that for every finite number of elements $x_{1}, x_{2},..., x_{k}$ of such an algebra $L$ there is finite-dimensional subalgebra $A$ which contains these elements and $L(adA)^n\subset A$ for some integer $n$. For such algebras I prove several structure theorems that can be regarded as generalizations of the classical structure theorems of the finite-dimensional Lie algebras theory. | |
| dc.identifier | https://arxiv.org/abs/math/0310208 | |
| dc.identifier | http://arxiv.org/abs/math/0310208 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/68851 | |
| dc.subject | Rings and Algebras | |
| dc.title | Structure Theory for One Class of Locally Finite Lie Algebras | |
| dc.type | text |