Toeplitz 子式与斜 Schur 多项式的特殊化
组合数学
2020-02-11 v3 泛函分析
摘要
我们用对称函数表示有限维和大维 Toeplitz 矩阵的子式。将所得表达式与某些 Toeplitz 矩阵的逆进行比较，我们得到了一个 Selberg-Morris 积分以及某些斜 Schur 多项式特殊化的显式公式。
引用
@article{arxiv.1706.02574,
title = {Toeplitz minors and specializations of skew Schur polynomials},
author = {David García-García and Miguel Tierz},
journal= {arXiv preprint arXiv:1706.02574},
year = {2020}
}
备注
v2: Added new results on specializations of skew Schur polynomials, abstract and title modified accordingly and references added; v3: final, published version; 18 pages