English

Indecomposable $0$-Hecke modules for extended Schur functions

Representation Theory 2019-06-12 v1 Combinatorics

Abstract

The extended Schur functions form a basis of quasisymmetric functions that contains the Schur functions. We provide a representation-theoretic interpretation of this basis by constructing 00-Hecke modules whose quasisymmetric characteristics are the extended Schur functions. We further prove these modules are indecomposable.

Keywords

Cite

@article{arxiv.1906.04383,
  title  = {Indecomposable $0$-Hecke modules for extended Schur functions},
  author = {Dominic Searles},
  journal= {arXiv preprint arXiv:1906.04383},
  year   = {2019}
}

Comments

11 pages

R2 v1 2026-06-23T09:49:44.037Z