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arXiv · 1110.2752

Global Weyl modules for the twisted loop algebra

Ghislain Fourier·Nathan Manning·Prasad Senesi
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Abstract

We define global Weyl modules for twisted loop algebras and analyze their high- est weight spaces, which are in fact isomorphic to Laurent polynomial rings in finitely many variables. We are able to show that the global Weyl module is a free module of finite rank over these rings. Furthermore we prove, that there exist injective maps from the global Weyl modules for twisted loop algebras into a direct sum of global Weyl modules for untwisted loop algebras. Relations between local Weyl modules for twisted and untwisted generalized current algebras are known; we provide for the first time a relation on global Weyl modules.

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BibTeXRIS

Ghislain Fourier, Nathan Manning, Prasad Senesi. 2011-10-13. Global Weyl modules for the twisted loop algebra. https://arxiv.org/abs/1110.2752

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