Journal of Lie Theory

no. 2
Weyl Modules and Levi Subalgebras
Journal of Lie Theory, Volume 24 (2014) no. 2, pp. 503-527
For a simple complex Lie algebra g of classical type we are studying the restriction of modules of the current algebra to the current algebra of a Levi subalgebra of g. More precisely, we are studying the highest weight components of simple modules, global and local Weyl modules. We are identifying necessary and sufficient conditions on a pair of a Levi subalgebra and a dominant integral weight, such that the highest weight component of the restricted module is a global (resp., a local) Weyl module.
DOI: 10.5802/jolt.794
Classification: 17B10, 17B67
Keywords: Weyl modules, Levi subalgebra, Current algebra 
@article{JOLT_2014_24_2_a9,
     author = {G. Fourier},
     title = {Weyl {Modules} and {Levi} {Subalgebras}},
     journal = {Journal of Lie Theory},
     pages = {503--527},
     year = {2014},
     volume = {24},
     number = {2},
     doi = {10.5802/jolt.794},
     zbl = {1321.17017},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.794/}
}
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%0 Journal Article
%A G. Fourier
%T Weyl Modules and Levi Subalgebras
%J Journal of Lie Theory
%D 2014
%P 503-527
%V 24
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G. Fourier. Weyl Modules and Levi Subalgebras. Journal of Lie Theory, Volume 24 (2014) no. 2, pp. 503-527. doi: 10.5802/jolt.794

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