Séminaire Lotharingien de Combinatoire, 85B.68 (2021), 12 pp.

Joshua Bardwell and Dominic Searles

Young Row-Strict Quasisymmetric Schur Functions and 0-Hecke Modules

Abstract. We give a representation-theoretic interpretation of the Young row-strict quasisymmetric Schur basis of quasisymmetric functions by constructing modules of the 0-Hecke algebra whose quasisymmetric characteristics are the Young row-strict quasisymmetric Schur functions. Additionally, we classify when these modules are indecomposable.


Received: December 1, 2020. Accepted: March 1, 2021. Final version: April 29, 2021.

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