Lengths of Finite Dimensional Representations of PBW Algebras

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/68663We present a proof of an upper bound for the lengths of finite dimensional representations of algebras obeying a modified PBW property, including Lie algebras and quantum groups. The sharpness of the bound is proved and discussed.6 pagesRings and AlgebrasRepresentation TheoryLengths of Finite Dimensional Representations of PBW Algebrastext