Class expansion of some symmetric functions in Jucys-Murphy elements

Michel Lassalle (1)

1 LIGM - Laboratoire d'Informatique Gaspard-Monge

We present a method to compute the class expansion of a symmetric function specialized at the Jucys-Murphy elements of the symmetric group. We apply this method to one-row Hall-Littlewood symmetric functions, which interpolate between power sums and complete symmetric functions.

Domaines: Théorie des représentations [math.RT]; Combinatoire [math.CO]

Michel Lassalle. Class expansion of some symmetric functions in Jucys-Murphy elements. Journal of Algebra, 2013, 394, pp.397-443. ⟨10.1016/j.jalgebra.2013.06.013⟩. ⟨hal-00827349⟩