Projective functors and the restriction of a Verma module to a subalgebra of Levi type
β Scribed by Sergei Khoroshkin
- Publisher
- Springer
- Year
- 1992
- Tongue
- English
- Weight
- 298 KB
- Volume
- 10
- Category
- Article
- ISSN
- 0232-704X
No coin nor oath required. For personal study only.
β¦ Synopsis
We observe that the restriction of a Verma module over a semi-simple Lie algebra to a subalgebra of Levi type may be viewed as a projective functor. By simple arguments we prove that this restriction can be decomposed into a direct sum of standard indecomposables in the category 0. For the restriction problem from sl(n+l) to gl(n) we describe the complete answer. We study the properties of the modules with Verma flag also and prove that any module with Verma flag is a submodule of some projective.
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