Irreducibility criterion for tensor products of Yangian evaluation modules

2000/09/30 by A. I. Molev · 1 citation
Mathematics · Physics and Astronomy · #math.QA #math-ph #math.MP #math.RT #msc:17B37

paper · pdf

published as Duke Math. J. 112 (2002), 307--341. · 33 pages

arxiv created 2000/12/23 · arxiv updated 2009/11/30

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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• Intertwiners of Yangian representations

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