Structure of α-Stratified Modules for Finite-Dimensional Lie Algebras, I
Structure of α-Stratified Modules for Finite-Dimensional Lie Algebras, I
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DOI：
10.1006/jabr.1996.0229
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发表时间：
1996-07
影响因子：
0.9
通讯作者：
V. Futorny;V. Mazorchuk
中科院分区：
文献类型：
--
作者：
V. Futorny;V. Mazorchuk
对于有限维复单李代数，研究了关于同构于某个子代数tosl（2）的无挠广义Verma模的结构.我们得到了不可约性的一个判别准则，并建立了这类模之间存在非平凡同态的充分必要条件，推广了Verma模的BGG定理。
For complex simple finite-dimensional Lie algebras we study the structure of generalized Verma modules which are torsion free with respect to some subalgebra isomorphic tosl(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.