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Rigidity of generalized Verma modules

Oleksandr Khomenko;  Volodymyr Mazorchuk — 2002

Colloquium Mathematicae

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).

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