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On multiplicities of simple subquotients in generalized Verma modules

✍ Scribed by Alexandre Khomenko; Volodymyr Mazorchuk

Book ID
110410730
Publisher
Springer
Year
2002
Tongue
English
Weight
129 KB
Volume
52
Category
Article
ISSN
0011-4642

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πŸ“œ SIMILAR VOLUMES

On the Determinant of Shapovalov Form fo
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✍ 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.

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✍ Corrado Marastoni πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 103 KB

Let G be a connected semisimple algebraic group over C, P a parabolic subgroup, g and p their Lie algebras. We prove a microlocal version of Gyoja's conjectures [2] about a relation between the irreducibility of generalized Verma modules on g induced from p and the zeroes of b-functions of P -semi-i