Rational representations of the Yangian Y(gln)

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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 intertwining operators. Finally, we state a conjecture that all irreducible finite-dimensional rational Y(gl_n)-modules can be realized as images of the constructed intertwining operators.
Original languageEnglish
Pages (from-to)1677-1696
JournalJournal of geometry and physics
Volume62
Issue number7
Publication statusPublished - Jul 2012

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