Classification of the factorial functions of Eulerian binomial and Sheffer posets

DOI10.1016/j.jcta.2006.06.003zbMath1109.06003arXivmath/0503303OpenAlexW1998019681MaRDI QIDQ868886

Margaret A. Readdy, Richard Ehrenborg

Publication date: 26 February 2007

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

Full work available at URL: https://arxiv.org/abs/math/0503303

zbMATH Keywords

infinite Boolean algebrainfinite butterfly posetinfinite cubical poset and latticeupper binomial poset

Mathematics Subject Classification ID

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

Related Items (3)

Level Eulerian posets. ⋮ Euler flag enumeration of Whitney stratified spaces ⋮ Finite Eulerian posets which are binomial, Sheffer or triangular

Cites Work

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• Binomial posets, Möbius inversion, and permutation enumeration
• Posets in which every interval is a product of chains, and natural local actions of the symmetric group
• Upper binomial posets and signed permutation statistics
• Segre and Rees products of posets, with ring-theoretic applications
• Flag vectors of Eulerian partially ordered sets
• Posets that locally resemble distributive lattices. An extension of Stanley's theorem (with connections to buildings and diagram geometries)
• Homology of Newtonian coalgebras.
• Noncommutative enumeration in graded posets

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