The maximum number of atoms of Bruhat intervals in the symmetric groups.

DOI10.1016/j.ejc.2010.07.009zbMath1214.20002OpenAlexW2005804359MaRDI QIDQ607365

Masato Kobayashi

Publication date: 22 November 2010

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ejc.2010.07.009

zbMATH Keywords

symmetric groupsBruhat orderBruhat intervalsnumbers of atoms

Mathematics Subject Classification ID

Combinatorics of partially ordered sets (06A07) Symmetric groups (20B30)

Related Items (2)

Toric Bruhat interval polytopes ⋮ The maximum difference between the number of atoms and number of coatoms of a Bruhat interval of the symmetric group.

Cites Work

• Bases for the Bruhat-Chevalley order on all finite Coxeter groups
• Bruhat intervals of length 4 in Weyl groups.
• On degrees in the hasse diagram of the strong Bruhat order
• Combinatorics of Coxeter Groups

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