Intersection matrix of a generalized Airy function in terms of skew-Schur polynomials
Intersection matrix of a generalized Airy function in terms of skew-Schur polynomials
复制标题
用 skew-Schur 多项式表示的广义 Airy 函数的交集矩阵
DOI：
10.3792/pjaa.76.135
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发表时间：
2000
影响因子：
1.4
通讯作者：
Keiji Matsumoto
中科院分区：
文献类型：
--
作者：
Katsunori Iwasaki;Keiji Matsumoto
：在与多个变量中的广义艾里函数相关的一对多项式扭曲德拉姆上同调群之间引入了对偶性。扭曲 de Rham 群的自然基是根据 Schur 多项式构造的。然后根据 skew-Schur 多项式显式计算相对于这些基的交集矩阵。
: A duality is introduced between a pair of polynomial twisted de Rham cohomology groups associated with a generalized Airy function in several variables. Natural bases of the twisted de Rham groups are constructed in terms of Schur polynomials. Then the intersection matrix relative to these bases is calculated explicitly in terms of skew-Schur polynomials.