3 citations · 3 across the 3 of their papers we have counts for
4 papers
Making research on symmetric functions using MuPAD-Combinat
Francois Descouens
We present an overview of the implementation of symmetric functions in MuPAD-Combinat. We also explain how to interface C++ programs with MuPAD in order to make efficient research…
A bijective proof of a factorization formula for Macdonald polynomials at roots of unity
Francois Descouens, Hideaki Morita, Yasuhide Numata
We give a combinatorial proof of the factorization formula of modified Macdonald polynomials when the parameter t is specialized at a primitive root of unity. Our proof is restrict…
Ribbon tableaux, ribbon rigged configurations and Hall-Littlewood functions at roots of unity
Francois Descouens
Hall-Littlewood functions indexed by rectangular partitions, specialized at primitive roots of unity, can be expressed as plethysms. We propose a combinatorial proof of this formul…
A generating algorithm for ribbon tableaux and spin polynomials
Francois Descouens
We describe a general algorithm for generating various families of ribbon tableaux and computing their spin polynomials. This algorithm is derived from a new matricial coding. An a…