The Decomposition of 0-Hecke Modules Associated to Quasisymmetric Schur Functions
Séminaire lotharingien de combinatoire, 80B (2018)

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Recently Tewari and van Willigenburg constructed modules of the 0-Hecke algebra that are mapped to the quasisymmetric Schur functions by the quasisymmetric characteristic. These modules have a natural decomposition into a direct sum of certain submodules. We show that the summands are indecomposable by determining their endomorphism rings.

@article{SLC_2018_80B_a31,
     author = {Sebastian K\"onig},
     title = {The {Decomposition} of {0-Hecke} {Modules} {Associated} to {Quasisymmetric} {Schur} {Functions}},
     journal = {S\'eminaire lotharingien de combinatoire},
     publisher = {mathdoc},
     volume = {80B},
     year = {2018},
     url = {http://geodesic.mathdoc.fr/item/SLC_2018_80B_a31/}
}
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AU  - Sebastian König
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JO  - Séminaire lotharingien de combinatoire
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UR  - http://geodesic.mathdoc.fr/item/SLC_2018_80B_a31/
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%J Séminaire lotharingien de combinatoire
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Sebastian König. The Decomposition of 0-Hecke Modules Associated to Quasisymmetric Schur Functions. Séminaire lotharingien de combinatoire, 80B (2018). http://geodesic.mathdoc.fr/item/SLC_2018_80B_a31/