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Stratified \(L\)-modules. (English) Zbl 0817.17009

Authors’ summary: For a simple Lie algebra, \(L\), over the complex numbers, we study generalized Verma modules induced from modules which are torsion-free over a parabolic subalgebra and the irreducible quotients of such modules. We construct a new category \({\mathcal O}^ \alpha\) which generalizes the well-known category \({\mathcal O}\).

MSC:

17B10 Representations of Lie algebras and Lie superalgebras, algebraic theory (weights)
17B20 Simple, semisimple, reductive (super)algebras
22E46 Semisimple Lie groups and their representations
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