Indecomposable $0$-Hecke modules for extended Schur functions

Published 11 Jun 2019 in math.RT and math.CO | (1906.04383v1)

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 $0$-Hecke modules whose quasisymmetric characteristics are the extended Schur functions. We further prove these modules are indecomposable.

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Dominic Searles

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