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Irreducibility criterion for tensor products of Yangian evaluation modules

A. I. Molev
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Abstract

The evaluation homomorphisms from the Yangian Y(gl_n) to the universal enveloping algebra U(gl_n) allow one to regard the irreducible finite-dimensional representations of gl_n as Yangian modules. We give necessary and sufficient conditions for irreducibility of tensor products of such evaluation modules.

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A. I. Molev. 2000-12-23. Irreducibility criterion for tensor products of Yangian evaluation modules. https://arxiv.org/abs/math/0009183

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