有理qKZ方程与平移非对称Jack多项式
量子代数
2009-01-27 v4 表示论
摘要
我们构造了与李代数相关的有理量子Knizhnik-Zamolodchikov方程的特殊解。主要成分是一类特殊的平移非对称Jack多项式。它可以被视为Dunkl研究的奇异多项式的平移版本。我们证明我们的解包含那些作为一级顶点算子矩阵元标度极限而获得的解。
引用
@article{arxiv.0810.2581,
title = {The Rational qKZ Equation and Shifted Non-Symmetric Jack Polynomials},
author = {Saburo Kakei and Michitomo Nishizawa and Yoshihisa Saito and Yoshihiro Takeyama},
journal= {arXiv preprint arXiv:0810.2581},
year = {2009}
}
备注
no figure, we gave a proof of the conjecture in the second version; we modified section 4.2 of the first version to correct an error in Proposition 4.4 and give more general result