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Structure of α-Stratified Modules for Finite-Dimensional Lie Algebras, I

✍ Scribed by V. Futorny; V. Mazorchuk

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
331 KB
Volume
183
Category
Article
ISSN
0021-8693

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✦ Synopsis

For complex simple finite-dimensional Lie algebras we study the structure of generalized Verma modules which are torsion free with respect to some subalgebra Ž . isomorphic to sl 2 . We obtain a criterion of irreducibility and establish necessary and sufficient conditions for the existence of a non-trivial homomorphism between such modules generalizing the BGG theorem for Verma modules.

📜 SIMILAR VOLUMES

Classification of Irreducible Nonzero Le
Classification of Irreducible Nonzero Level Modules with Finite-Dimensional Weight Spaces for Affine Lie Algebras
✍ V Futorny; A Tsylke 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 142 KB

We classify the irreducible weight affine Lie algebra modules with finite-dimensional weight spaces on which the central element acts nontrivially. In particular, we show that any such module is a quotient of a generalized Verma module. The classification of such irreducible modules is reduced to th