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Factoring the Shapovalov Determinant, II

✍ Scribed by A.John Coleman; Lingbo Cao

Book ID
102572243
Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
160 KB
Volume
187
Category
Article
ISSN
0021-8693

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On the Determinant of Shapovalov Form fo
On the Determinant of Shapovalov Form for Generalized Verma Modules
✍ Alexandre Khomenko; Volodymyr Mazorchuk 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 146 KB

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.