Yangian Y(gl_n)的有理表示
表示论
2013-09-11 v1 量子代数
摘要
我们构造了Y(gl_n)的一列有理表示以及它们之间的交织算子。我们找到了交织算子下最高权向量像的显式表达式。最后，我们提出一个猜想：所有不可约有限维有理Y(gl_n)-模都可以作为所构造交织算子的像出现。
引用
@article{arxiv.1309.1822,
title = {Rational representations of the Yangian Y(gl_n)},
author = {Alexander Shapiro},
journal= {arXiv preprint arXiv:1309.1822},
year = {2013}
}
备注
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