Indecomposable $0$-Hecke modules for extended Schur functions
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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.References
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Additional Information
- Dominic Searles
- Affiliation: Department of Mathematics and Statistics, University of Otago, Dunedin 9016, New Zealand
- MR Author ID: 1039513
- Email: dominic.searles@otago.ac.nz
- Received by editor(s): June 26, 2019
- Received by editor(s) in revised form: September 22, 2019
- Published electronically: February 13, 2020
- Communicated by: Patricia L. Hersh
- © Copyright 2020 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 148 (2020), 1933-1943
- MSC (2010): Primary 05E05, 20C08; Secondary 05E10
- DOI: https://doi.org/10.1090/proc/14879
- MathSciNet review: 4078078