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α-Primitive Elements in the Generalized Verma Modules

✍ Scribed by O. M. Khomenko

Book ID
110290622
Publisher
Springer
Year
2000
Tongue
English
Weight
123 KB
Volume
52
Category
Article
ISSN
0041-5995

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On the Determinant of Shapovalov Form fo
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✍ 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.

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✍ Nanhua Xi 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 179 KB

The submodule structure of Weyl modules for SL has been determined 3 w x Ž . w x in DS, I, K and by Cline unpublished . The main technique used in DS is an analysis of the intertwining homomorphisms between certain Weyl w x modules. The approach in I, K is essentially a direct calculation. Also, Jan