✦ LIBER ✦
Generalized Verma Modules Induced from sl(2, C) and Associated Verma Modules
✍ Scribed by Oleksandr Khomenko; Volodymyr Mazorchuk
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 138 KB
- Volume
- 242
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
✦ Synopsis
With each generalized Verma module induced from a "well-embedded" parabolic subalgebra of a Lie algebra with triangular decomposition, we associate a Verma module over the same algebra in a natural way. In the case when the semisimple part of the Levi factor of the parabolic subalgebra is isomorphic to sl 2 and the generalized Verma module is induced from an infinite-dimensional simple module, we prove that the associated Verma module is simple if and only if the original generalized Verma module is simple.