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arxiv: 1309.1822 · v1 · pith:ITAIJSZFnew · submitted 2013-09-07 · 🧮 math.RT · math.QA

Rational representations of the Yangian Y(gl_n)

classification 🧮 math.RT math.QA
keywords intertwiningoperatorsrationalimagesrepresentationsariseconjectureconstruct
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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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