Séminaire Lotharingien de Combinatoire, 80B.32 (2018), 12 pp.

Sebastian König

The Decomposition of 0-Hecke Modules Associated to Quasisymmetric Schur Functions

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. 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: