Abstract
Let F be an algebraically closed field of characteristic ≠2,3, W a F -vector space and L⊂ gl (W) with nil W L =(0), dim F L =∞. Suppose L⊂ fgl (W) is a finitary subalgebra. The faithful irreducible L -modules are determined. It is shown that L has minimal ideals. If a minimal ideal S is infinite-dimensional then SW is a completely reducible L -module. Suppose L∩ fgl (W)≠(0) , W is L -irreducible and char( F )>3. Then L is classified in terms of L∩ fgl (W) .
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