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arXiv · 1703.06214

Free 2-step nilpotent Lie algebras and indecomposable modules

Leandro Cagliero·Luis Gutierrez·Fernando Szechtman
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Abstract

Given an algebraically closed field $F$ of characteristic 0 and an $F$-vector space $V$, let $L(V)=V\oplusΛ^2(V)$ denote the free 2-step nilpotent Lie algebra associated to $V$. In this paper, we classify all uniserial representations of the solvable Lie algebra $\mathfrak g=\langle x\rangle\ltimes L(V)$, where $x$ acts on $V$ via an arbitrary invertible Jordan block.

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BibTeXRIS

Leandro Cagliero, Luis Gutierrez, Fernando Szechtman. 2017-03-17. Free 2-step nilpotent Lie algebras and indecomposable modules. https://arxiv.org/abs/1703.06214

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