9 citations · 9 across the 3 of their papers we have counts for
4 papers
Tensorial square of the Hyperoctahedral group Coinvariant Space
Francois Bergeron, Riccardo Biagioli
The purpose of this paper is to give an explicit description of the trivial and alternating components of the irreducible representation decomposition of the bigraded module obtain…
Some positive differences of products of Schur functions
Francois Bergeron, Peter McNamara
The product of two Schur functions is one of the most famous examples of a Schur-positive function, i.e. a symmetric function which, when written as a linear combination o…
Decomposition of the Diagonal Action of S_n on the Coinvariant Space of S_n x S_n
Francois Bergeron, Francois Lamontagne
The purpose of this paper is to give an explicit description of the irreducible decomposition of the multigraded S_n-module of coinvariants of S_n x S_n. Many of the results presen…
Science Fiction and Macdonald's Polynomials
F. Bergeron, G. Garsia
This work studies the remarkable relationships that hold among certain m-tuples of the Garsia-Haiman modules and corresponding elements of the Macdonald basis. We reca…