Hyperdeterminantal calculations of Selberg's and Aomoto's integrals
Hyperdeterminantal calculations of Selberg's and Aomoto's integrals
复制标题
Selberg 和 Aomoto 积分的超确定计算
DOI：
10.1081/00268970410001728573
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发表时间：
2004
影响因子：
1.7
通讯作者：
J. Thibon
中科院分区：
文献类型：
--
作者：
Jean;J. Thibon
这里考虑的hyperdeteminants是最简单的类似决定因素的高阶张量已被定义的凯莱，并只适用于张量的指数为偶数。在以前的文章中，某些多维积分的计算可以简化为Hankel型超行列式的计算。在这里，这种计算是由纯粹的代数手段的情况下塞尔伯格和Aomoto的积分。
The hyperdeteminants considered here are the simplest analogues of determinants for higher rank tensors which have been defined by Cayley, and apply only to tensors with an even number of indices. It was shown in a previous article that the calculation of certain multidimensional integrals could be reduced to the evaluation of hyperdeterminants of Hankel type. Here, this computation is carried out by purely algebraic means in the cases of Selberg's and Aomoto's integrals.