Verma modules for YangiansReport as inadecuate

 Verma modules for Yangians

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We study the Verma modules Mmuu over the Yangian Ya associated with a simple Lie algebra a. We give necessary and sufficient conditions for irreducibility of Mmuu. Moreover, regarding the simple quotient Lmuu of Mmuu as an a-module, we give necessary and sufficient conditions for finite-dimensionality of the weight subspaces of Lmuu.

Author: Y. Billig; V. Futorny; A. Molev



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