Séminaire Lotharingien de Combinatoire, 80B.32 (2018), 12 pp.
The Decomposition of 0-Hecke Modules Associated to Quasisymmetric Schur Functions
Recently Tewari and van Willigenburg constructed modules of the 0-Hecke algebra that are mapped to the quasisymmetric Schur functions by the quasisymmetric characteristic. These modules have a natural decomposition into a direct sum of certain submodules.
We show that the summands are indecomposable by determining their endomorphism rings.
Received: November 14, 2017.
Accepted: February 17, 2018.
Final version: April 1, 2018.
The following versions are available: