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arXiv · 1501.04802

Weyl modules associated to Kac-Moody Lie algebras

S. Eswara Rao·V. Futorny·Sachin S. Sharma
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Abstract

Weyl modules were originally defined for affine Lie algebras by Chari and Pressley in \cite{CP}. In this paper we extend the notion of Weyl modules for a Lie algebra $\mathfrak{g} \otimes A$, where $\mathfrak{g}$ is any Kac-Moody algebra and A is any finitely generated commutative associative algebra with unit over $\mathbb{C}$, and prove a tensor product decomposition theorem generalizing \cite{CP}.

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BibTeXRIS

S. Eswara Rao, V. Futorny, Sachin S. Sharma. 2015-01-20. Weyl modules associated to Kac-Moody Lie algebras. https://arxiv.org/abs/1501.04802

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