Details
| Original language | English |
|---|---|
| Pages (from-to) | 735-751 |
| Number of pages | 17 |
| Journal | Algebraic Combinatorics |
| Volume | 2 |
| Issue number | 5 |
| Publication status | Published - 8 Oct 2019 |
| Event | 30th international conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2018 - Hanover, United States Duration: 16 Jul 2018 → 20 Jul 2018 |
Abstract
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.
Keywords
- 0-Hecke algebra, Composition tableau, Quasisymmetric function, Schur function
ASJC Scopus subject areas
- Mathematics(all)
- Discrete Mathematics and Combinatorics
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In: Algebraic Combinatorics, Vol. 2, No. 5, 08.10.2019, p. 735-751.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - The decomposition of 0-Hecke modules associated to quasisymmetric Schur functions
AU - König, Sebastian
N1 - Publisher Copyright: © The journal and the authors, 2019.
PY - 2019/10/8
Y1 - 2019/10/8
N2 - 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.
AB - 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.
KW - 0-Hecke algebra
KW - Composition tableau
KW - Quasisymmetric function
KW - Schur function
UR - http://www.scopus.com/inward/record.url?scp=85083020329&partnerID=8YFLogxK
U2 - 10.5802/alco.58
DO - 10.5802/alco.58
M3 - Article
AN - SCOPUS:85083020329
VL - 2
SP - 735
EP - 751
JO - Algebraic Combinatorics
JF - Algebraic Combinatorics
IS - 5
T2 - 30th international conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2018
Y2 - 16 July 2018 through 20 July 2018
ER -