@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, Copf) subalgebra. As a corollary we obtain a generalization of the BGG-theorem for Generalized Verma modules. Copyright 1999 Academic Press.

", pages = "318-329(12)", url = "http://www.ingentaconnect.com/content/ap/ja/1999/00000215/00000001/art07731" }