Coleman, A. John; Futorny, Vyacheslav M. Stratified \(L\)-modules. (English) Zbl 0817.17009 J. Algebra 163, No. 1, 219-234 (1994). 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 \({\mathcal O}\). Reviewer: N.Sthanumoorthy (Madras) Cited in 1 ReviewCited in 15 Documents 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 Keywords:stratified modules; simple Lie algebra; generalized Verma modules; category \(O^ \alpha\) PDFBibTeX XMLCite \textit{A. J. Coleman} and \textit{V. M. Futorny}, J. Algebra 163, No. 1, 219--234 (1994; Zbl 0817.17009) Full Text: DOI