Rigidity of generalized Verma modules
Volume 92 / 2002
Colloquium Mathematicum 92 (2002), 45-57
MSC: 17B10; 17B35; 16G99.
DOI: 10.4064/cm92-1-4
Abstract
We prove that generalized Verma modules induced from generic Gelfand–Zetlin modules, and generalized Verma modules associated with Enright-complete modules, are rigid. Their Loewy lengths and quotients of the unique Loewy filtrations are calculated for the regular block of the corresponding category ${{\cal O}}({{{\mathfrak p}}},{\mit \Lambda })$.
