arXiv:1309.1822 Abstract | arXiv Analytics

arXiv:1309.1822 [math.RT]Abstract References Reviews Resources

Rational representations of the Yangian Y(gl_n)

Published 2013-09-07Version 1

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.

Comments: 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

Journal: Journal of Geometry and Physics 62 (2012), pp. 1677-1696

DOI: 10.1016/j.geomphys.2012.03.002

Categories: math.RT, math.QA

Keywords: rational representations, irreducible finite-dimensional rational, highest-weight vectors, explicit expressions, conjecture

Tags: journal article

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