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Projective functors and the restriction of a Verma module to a subalgebra of Levi type

✍ Scribed by Sergei Khoroshkin


Publisher
Springer
Year
1992
Tongue
English
Weight
298 KB
Volume
10
Category
Article
ISSN
0232-704X

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✦ 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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