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Irreducibility criterion for tensor products of Yangian evaluation modules

A. I. Molev

math.QAarXiv:math/0009183

Abstract

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

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