Indecomposable 0-Hecke modules for extended Schur functions

Searles, Dominic

doi:10.1090/proc/14879

Indecomposable $0$-Hecke modules for extended Schur functions
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Proc. Amer. Math. Soc. 148 (2020), 1933-1943 Request permission

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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