Weyl modules and Levi subalgebras

2012/12/28 by Ghislain Fourier, Fourier, Ghislain
Mathematics · #17B10 #17B67 #FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT) #math.QA #math.RT #msc:17B10 #msc:17B67

paper · pdf · doi:10.48550/arxiv.1212.6505

22 pages, final version, to appear in JolT

arxiv created 2013/11/11 · arxiv updated 2013/11/12

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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