Fundamental quasisymmetric functions in superspace

Susanna Fishel, Jessica Gatica, Luc Lapointe, Maria Elena Pinto

Published 2024-11-20Version 1

The fundamental quasisymmetric functions in superspace are a generalization of the fundamental quasisymmetric functions involving anticommuting variables. We obtain the action of the product, coproduct, and antipode on the fundamental quasisymmetric functions in superspace. We also extend to superspace the well known expansion of the Schur functions in terms of fundamental quasisymmetric functions.