Factorization formulas for MacDonald polynomials

In [LLT1], Lascoux, Leclerc and Thibon give some factorisation formulas for Hall-Littlewood functions when the parameter q is specialized at roots of unity. They also give formulas in terms of cyclic characters of the symmetric group. In this article, we give a generalization of these specializations for different versions of the Macdonald polynomials and… (More)