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arXiv · 1309.1822

Rational representations of the Yangian Y(gl_n)

Alexander Shapiro
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Abstract

We construct a series of rational representations of Y(gl_n) and intertwining operators between them. We find explicit expressions for the images of highest-weight vectors under the intertwining operators. Finally, we state a conjecture that all irreducible finite-dimensional rational Y(gl_n)-modules arise as images of the constructed intertwining operators.

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BibTeXRIS

Alexander Shapiro. 2013-09-07. Rational representations of the Yangian Y(gl_n). https://doi.org/10.1016/j.geomphys.2012.03.002

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