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arXiv · 1212.6505

Weyl modules and Levi subalgebras

Ghislain Fourier
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Abstract

For a simple complex Lie algebra of finite rank and classical type, we fix a triangular decomposition and consider the simple Levi subalgebras associated to closed subsets of roots. We study the restriction of global and local Weyl modules of current algebras to this Levi subalgebra. We identify necessary and sufficient conditions on a pair of a Levi subalgebra and a dominant integral weight, such that the restricted module is a global (resp. a local) Weyl module.

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Ghislain Fourier. 2013-11-11. Weyl modules and Levi subalgebras. https://arxiv.org/abs/1212.6505

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