Indecomposable 0-Hecke modules for extended Schur functions
classification
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math.CO
keywords
functionsschurextendedmodulesbasisheckeindecomposablequasisymmetric
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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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