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On the Determinant of Shapovalov Form for Generalized Verma Modules

✍ Scribed by Alexandre Khomenko; Volodymyr Mazorchuk


Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
146 KB
Volume
215
Category
Article
ISSN
0021-8693

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✦ Synopsis


We define a generalization of the Shapovalov form for contragradient Lie algebras and compute its determinant for Generalized Verma modules induced Ž . from a well-embedded sl 2, ‫ރ‬ subalgebra. As a corollary we obtain a generalization of the BGG-theorem for Generalized Verma modules.


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