Flag-symmetric and locally rank-symmetric partially ordered sets

zbMath0857.05091MaRDI QIDQ1918881

Richard P. Stanley

Publication date: 21 July 1996

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/119043

zbMATH Keywords

Schur functionsposetsymmetric functionmodular latticeschainsdistributive latticereconstructionCohen-MacaulayKostka polynomialslexicographic shellabilitySchur-positiveflag-symmetric posetrank positive

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Combinatorics of partially ordered sets (06A07) Applied homological algebra and category theory in algebraic topology (55U99)

Related Items

Chain decomposition and the flag \(f\)-vector., Irreducible representations of semisimple algebraic groups and supersolvable lattices., Multigraded combinatorial Hopf algebras and refinements of odd and even subalgebras., Enriched 𝑃-Partitions, The Tchebyshev transforms of the first and second kind, Finite Eulerian posets which are binomial, Sheffer or triangular, Rodica Simion and shuffle posets, Shellings from relative shellings, with an application to NP-completeness, Generalized noncrossing partitions and combinatorics of Coxeter groups, Posets that locally resemble distributive lattices. An extension of Stanley's theorem (with connections to buildings and diagram geometries), Posets in which every interval is a product of chains, and natural local actions of the symmetric group, A class of \(q\)-symmetric functions arising from plethysm, Flag-symmetry of the poset of shuffles and a local action of the symmetric group, Two generalizations of posets of shuffles, EL-labelings, supersolvability and 0-Hecke algebra actions on posets