English

The decomposition of 0-Hecke modules associated to quasisymmetric Schur functions

Combinatorics 2021-12-03 v1 Representation Theory

Abstract

Recently Tewari and van Willigenburg constructed modules of the 0-Hecke algebra that are mapped to the quasisymmetric Schur functions by the quasisymmetric characteristic and decomposed them into a direct sum of certain submodules. We show that these submodules are indecomposable by determining their endomorphism rings.

Keywords

Cite

@article{arxiv.1711.08737,
  title  = {The decomposition of 0-Hecke modules associated to quasisymmetric Schur functions},
  author = {Sebastian König},
  journal= {arXiv preprint arXiv:1711.08737},
  year   = {2021}
}

Comments

16 pages, 2 figures