Abstract
We construct quantum analogues of a class of generalized Verma modulesinduced from nonsolvable parabolic subalgebras of simple Lie algebras. Weshow that these quantum modules are true deformations of the underlyingclassical modules in the sense that the weight-space decomposition ispreserved.
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Futorny, V.M., Melville, D.J. Quantum Deformations of α-Stratified Modules. Algebras and Representation Theory 1, 135–153 (1998). https://doi.org/10.1023/A:1009945008915
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DOI: https://doi.org/10.1023/A:1009945008915