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- W4308481962 abstract "A basis of the center of the 0-Hecke algebra of an arbitrary finite Coxeter group was described by He in 2015. This basis is indexed by certain equivalence classes of the Coxeter group whose explicit description is rather complicated. Even their number is not obvious. We consider case of the symmetric group $mathfrak{S}_n$. Building on work of Geck, Kim and Pfeiffer, we obtain a complete set of representatives of the equivalence classes. This set is naturally parametrized by certain compositions of $n$ called maximal. It follows that the maximal compositions of $n$ index the basis of the center of the 0-Hecke algebra of $mathfrak{S}_n$. We then develop an explicit combinatorial description for the equivalence classes that are parametrized by the maximal compositions whose odd parts form a hook." @default.
- W4308481962 created "2022-11-12" @default.
- W4308481962 creator A5057743956 @default.
- W4308481962 date "2021-12-03" @default.
- W4308481962 modified "2023-09-26" @default.
- W4308481962 title "Combinatorics of Centers of 0-Hecke Algebras in Type A" @default.
- W4308481962 doi "https://doi.org/10.48550/arxiv.2112.01768" @default.
- W4308481962 hasPublicationYear "2021" @default.
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