Structure Theory for One Class of Locally Finite Lie Algebras

dc.creatorSimonian, L. A.
dc.date2003-10-14
dc.date.accessioned2026-07-07T05:01:54Z
dc.date.available2026-07-07T05:01:54Z
dc.descriptionIn 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.identifierhttps://arxiv.org/abs/math/0310208
dc.identifierhttp://arxiv.org/abs/math/0310208
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68851
dc.subjectRings and Algebras
dc.titleStructure Theory for One Class of Locally Finite Lie Algebras
dc.typetext

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