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Verma modules for Yangians

Y. Billig·V. Futorny·A. Molev
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Abstract

We study the Verma modules M(mu(u)) over the Yangian Y(a) associated with a simple Lie algebra a. We give necessary and sufficient conditions for irreducibility of M(mu(u)). Moreover, regarding the simple quotient L(mu(u)) of M(mu(u)) as an a-module, we give necessary and sufficient conditions for finite-dimensionality of the weight subspaces of L(mu(u)).

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Y. Billig, V. Futorny, A. Molev. 2005-08-08. Verma modules for Yangians. https://doi.org/10.1007/s11005-006-0107-1

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