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Shapovalov determinant for loop superalgebras

✍ Scribed by A. V. Lebedev; D. A. Leites


Book ID
106541893
Publisher
SP MAIK Nauka/Interperiodica
Year
2008
Tongue
English
Weight
705 KB
Volume
156
Category
Article
ISSN
0040-5779

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On the Determinant of Shapovalov Form fo
✍ Alexandre Khomenko; Volodymyr Mazorchuk πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 146 KB

We define a generalization of the Shapovalov form for contragradient Lie algebras and compute its determinant for Generalized Verma modules induced Ε½ . from a well-embedded sl 2, ‫ރ‬ subalgebra. As a corollary we obtain a generalization of the BGG-theorem for Generalized Verma modules.