Rational representations of the Yangian Y(gl_n)

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.

Formula for the image of the highest weight vector in the skew-symmetric case is corrected from the print version. This text, being a continuation of the series of papers [KN1], [KN2], [KN3], [KN4] closely (sometimes literally, when appropriate) follows the exposition of the mentioned works arXiv:math/0606265, arXiv:math/0703651, arXiv:math/0606272, arXiv:0801.0519

References in corpus (4)

• Irreducible representations of Yangians
• Rational and polynomial representations of Yangians
• Rational representations of Yangians associated with skew Young diagrams
• Mickelsson algebras and representations of Yangians

Cited by in corpus (1)

• Rational and polynomial representations of Yangians