Free 2-step nilpotent Lie algebras and indecomposable modules

2017/03/17 by Cagliero, Leandro, Gutierrez, Luis, Szechtman, Fernando
#FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1703.06214

Abstract

Given 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 \mathfrak g=⟨ x⟩\ltimes L(V), where x acts on V via an arbitrary invertible Jordan block.

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