Factorization formulas for Macdonald polynomials

Francois Descouens (1) , Hideaki Morita (2)

1 LIGM - Laboratoire d'Informatique Gaspard-Monge
2 Oyama College - Oyama National College of Technology

The aim of this note is to give some factorization formulas for different versions of the Macdonald polynomials when the parameter t is specialized at roots of unity, generalizing those existing for Hall-Littlewood functions.

Mots clés: t)-Kostka polynomials; Macdonald polynomials; (q

Domaines: Combinatoire [math.CO]

Francois Descouens, Hideaki Morita. Factorization formulas for Macdonald polynomials. 2007. ⟨hal-00114573v2⟩