Plethysm and conjugation of quasi-symmetric functions Original Research Article

Let FC denote the basic quasi-symmetric functions, in Gesselʹs notation (1984) (C any composition). The plethysm sλ oFC is a positive linear combination of functions FD. Under certain conditions, the image under the involution ω of a quasi-symmetric function defined by equalities and inequalities of the variables is obtained by negating the inequalities.