49 citations · 137 across the 12 of their papers we have counts for
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Hyperdeterminantal calculations of Selberg's and Aomoto's integrals
Jean-Gabriel Luque, J. -Y. Thibon
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 nu…
Noncommutative Symmetric Functions Associated with a Code, Lazard Elimination, and Witt Vectors
Jean-Gabriel Luque, Jean-Yves Thibon
The construction of the universal ring of Witt vectors is related to Lazard's factorizations of free monoids by means of a noncommutative analogue. This is done by associating to a…
Multivariate generalizations of the Foata-Schutzenberger equidistribution
F. Hivert, J. -C. Novelli, J. -Y. Thibon
A result of Foata and Schutzenberger states that two statistics on permutations, the number of inversions and the inverse major index, have the same distribution on a descent class…
Polynomial realizations of some trialgebras
J. -C. Novelli, J. -Y. Thibon
We realize several combinatorial Hopf algebras based on set compositions, plane trees and segmented compositions in terms of noncommutative polynomials in infinitely many variables…