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arXiv:1906.04383 [math.RT]AbstractReferencesReviewsResources

Indecomposable $0$-Hecke modules for extended Schur functions

Dominic Searles

Published 2019-06-11Version 1

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.

Comments: 11 pages
Categories: math.RT, math.CO
Subjects: 05E05, 20C08, 05E10
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