2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/139965Let g denote a Lie algebra, and let T(g) denote the tensor product of g with a ring of truncated polynomials. The Lie algebra T(g) is called a truncated current Lie algebra. The highest-weight representation theory of T(g) is developed, and a reducibility criterion for the Verma modules is described.5 pages. A summary of the article 'Highest-Weight Theory for Truncated Current Lie Algebras' published on the arxivRepresentation TheoryMathematical Physics17B10; 17B65; 17B67; 17B68text