The fraction of an \(S_n\)-orbit on a hyperplane

DOI10.1016/j.laa.2024.07.022zbMATH Open1548.05028MaRDI QIDQ6618707

Brendan Pawlowski

Publication date: 15 October 2024

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

permutations\(q\)-binomial coefficientsSperner posets

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Permutations, words, matrices (05A05) Combinatorics of partially ordered sets (06A07)

Cites Work

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• Log-concavity of the partition function
• Some applications of algebra to combinatorics
• Congruence properties of \(q\)-analogs
• On the existence of tableaux with given modular major index
• What fraction of an \(S_n\)-orbit can lie on a hyperplane?
• Weyl Groups, the Hard Lefschetz Theorem, and the Sperner Property

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