The absolute order on the symmetric group, constructible partially ordered sets and Cohen-Macaulay complexes

DOI10.1016/j.jcta.2007.12.008zbMath1189.05173arXiv0706.1405OpenAlexW2132955061MaRDI QIDQ958737

Christos A. Athanasiadis, Myrto Kallipoliti

Publication date: 8 December 2008

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0706.1405

zbMATH Keywords

Möbius functionsymmetric grouppartial orderabsolute orderCohen-Macaulay complexconstructible complex

Mathematics Subject Classification ID

Partitions of sets (05A18) Combinatorics of partially ordered sets (06A07) Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Related Items

\(q\)-Stirling numbers in type \(B\) ⋮ The absolute order on the hyperoctahedral group ⋮ A poset fiber theorem for doubly Cohen-Macaulay posets and its applications. ⋮ The absolute order of a permutation representation of a Coxeter group ⋮ The alternating group generated by 3-cycles ⋮ A poset structure on the alternating group generated by 3-cycles ⋮ The intermediate orders of a Coxeter group

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• A partial order on the symmetric group and new \(K(\pi,1)\)'s for the braid groups

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