2-chains: An interesting family of posets

2-chains: An interesting family of posets

We introduce a new family of finite posets which we call 2-chains. These first arose in the study of 0-Hecke algebras, but they admit a variety of different characterisations. We give these characterisations, prove that they are equivalent and derive some numerical results concerning 2-chains.

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Veröffentlicht in:Discrete mathematics 2020-09, Vol.343 (9), p.111988, Article 111988
1. Verfasser: Fayers, Matthew
Format: Artikel
Sprache:eng
Schlagworte:
2-chain
Coxeter element
Finite poset
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Zusammenfassung:We introduce a new family of finite posets which we call 2-chains. These first arose in the study of 0-Hecke algebras, but they admit a variety of different characterisations. We give these characterisations, prove that they are equivalent and derive some numerical results concerning 2-chains.
ISSN:0012-365X
1872-681X
DOI:10.1016/j.disc.2020.111988