On the Determinant of Shapovalov Form for Generalized Verma Modules
We define a generalization of the Shapovalov form for contragradient Lie algebras and compute its determinant for Generalized Verma modules induced from a well-embeddedsl(2,C) subalgebra. As a corollary we obtain a generalization of the BGG-theorem for Generalized Verma modules.
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| Published in | Journal of algebra Vol. 215; no. 1; pp. 318 - 329 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier Inc
01.05.1999
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| Online Access | Get full text |
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| Summary: | We define a generalization of the Shapovalov form for contragradient Lie algebras and compute its determinant for Generalized Verma modules induced from a well-embeddedsl(2,C) subalgebra. As a corollary we obtain a generalization of the BGG-theorem for Generalized Verma modules. |
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| ISSN: | 0021-8693 1090-266X |
| DOI: | 10.1006/jabr.1998.7731 |