Hyperdeterminantal calculations of Selberg's and Aomoto's integrals
Luque, Jean-Gabriel ; Thibon, Jean-Yves
HAL, hal-00085637 / Harvested from HAL
Text on HAL
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.
Publié le : 2004-07-05
Classification:  [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO],  [PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph],  [MATH.MATH-GM]Mathematics [math]/General Mathematics [math.GM] 
@article{hal-00085637,
     author = {Luque, Jean-Gabriel and Thibon, Jean-Yves},
     title = {Hyperdeterminantal calculations of Selberg's and Aomoto's integrals},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00085637}
}

Luque, Jean-Gabriel; Thibon, Jean-Yves. Hyperdeterminantal calculations of Selberg's and Aomoto's integrals. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00085637/