Abstract
ABSTRACTGiven an algebraically closed field F of characteristic 0 and an F-vector space V, let L(V) = V⊕Λ2(V) denote the free 2-step nilpotent Lie algebra associated to V. In this paper, we classify all uniserial representations of the solvable Lie algebra 𝔤 = ⟨x⟩⋉L(V), where x acts on V via an arbitrary invertible Jordan block.
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