ALGEBRAIC COMBINATORICS

no. 5
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, Volume 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.

Received:
Revised:
Accepted:
Published online:
DOI: 10.5802/alco.58
Classification: 05E05, 20C08, 05E10
Keywords: 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
License: CC-BY 4.0
Copyrights: The authors retain unrestricted copyrights and publishing rights 
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König, Sebastian. The decomposition of 0-Hecke modules associated to quasisymmetric Schur functions. Algebraic Combinatorics, Volume 2 (2019) no. 5, pp. 735-751. doi : 10.5802/alco.58. https://alco.centre-mersenne.org/articles/10.5802/alco.58/

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