English

Fundamental quasisymmetric functions in superspace

Combinatorics 2024-11-21 v1

Abstract

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.

Keywords

Cite

@article{arxiv.2411.13371,
  title  = {Fundamental quasisymmetric functions in superspace},
  author = {Susanna Fishel and Jessica Gatica and Luc Lapointe and Maria Elena Pinto},
  journal= {arXiv preprint arXiv:2411.13371},
  year   = {2024}
}

Comments

20 pages, 8 figures