Abstract
Let F be an algebraically closed field and consider the Lie algebra 𝔤 = ⟨ x ⟩ ⋉ 𝔞, where ad x acts diagonalizably on the abelian Lie algebra 𝔞. Refer to a 𝔤-module as admissible if [𝔤, 𝔤] acts via nilpotent operators on it, which is automatic if chr(F) = 0. In this article, we classify all indecomposable 𝔤-modules U which are admissible as well as uniserial, in the sense that U has a unique composition series.
2010 Mathematics Subject Classification:
Notes
Communicated by A. Elduque.