Irreducibility criterion for tensor products of Yangian evaluation modules
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evaluationmodulesyangianirreducibilityproductstensoralgebraallow
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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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