Hyperdeterminantal calculations of Selberg's and Aomoto's integrals

Details Hyperdeterminantal calculations of Selberg's and Aomoto's integrals Hyperdeterminantal calculations of Selberg's and Aomoto's integrals

2006-07-18

arxiv.org/abs/math/0607410v1

Molecular Physics 102 n11-12 Special Issue: In Memory of Brian Garner Wybourne (2004) 1351-1359

Mathematics

Combinatorics

Scientific paper

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. We have shown in a previous article that the calculation of certain multidimensional integrals could be reduced to the evaluation of hyperdeterminants of Hankel type. Here, we carry out this computation by purely algebraic means in the cases of Selberg's and Aomoto's integrals.

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