The decomposition of 0-Hecke modules associated to quasisymmetric Schur functions
König, Sebastian1
1 Leibniz Universität Hannover Institute of Algebra, Number Theory and Discrete Mathematics Welfengarten 1 30167 Hannover Germany
Algebraic Combinatorics, Tome 2 (2019) no. 5, pp. 735-751.

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.

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DOI : 10.5802/alco.58
Classification : 05E05, 20C08, 05E10
Mots-clés : 0-Hecke algebra, composition tableau, quasisymmetric function, Schur function
König, Sebastian 1

1 Leibniz Universität Hannover Institute of Algebra, Number Theory and Discrete Mathematics Welfengarten 1 30167 Hannover Germany 
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König, Sebastian. The decomposition of 0-Hecke modules associated to quasisymmetric Schur functions. Algebraic Combinatorics, Tome 2 (2019) no. 5, pp. 735-751. doi : 10.5802/alco.58. https://www.numdam.org/articles/10.5802/alco.58/

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