Rigidity of generalized Verma modules

Oleksandr Khomenko, Volodymyr Mazorchuk
2002 Colloquium Mathematicum  
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 O(p, Λ).
doi:10.4064/cm92-1-4 fatcat:y5a3rrclmrbz5g4b4tmsfux2ou