@article {Khomenko:May 1999:0021-8693:318, author = "Khomenko A.", author = "Soergel V.W.", title = "On the Determinant of Shapovalov Form for Generalized Verma Modules", journal = "Journal of Algebra", volume = "215", year = "May 1999", abstract = "
We define a generalization of the Shapovalov form for contragradient Lie algebras and compute its determinant for Generalized Verma modules induced from a well-embedded sl(2,
) subalgebra. As a corollary we obtain a generalization of the BGG-theorem for Generalized Verma modules. Copyright 1999 Academic Press.