Some applications of algebra to combinatorics

DOI10.1016/0166-218X(91)90089-FzbMath0762.06001MaRDI QIDQ1182324

Richard P. Stanley

Publication date: 28 June 1992

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

surveypolytopesgroup actionsLie algebrassubgroup latticesextremal combinatoricspermutation statisticsinteger partitionsFerrers diagramslinear algebraSperner property\(q\)-binomial coefficientssubspace latticesAbelian \(p\)- groupsalgebraic methods in combinatoricsErdős-Moser conjecturerank symmetryrank unimodality

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to combinatorics (05-02) Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) Combinatorial aspects of partitions of integers (05A17) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Combinatorics of partially ordered sets (06A07) Chains and lattices of subgroups, subnormal subgroups (20E15) Modular lattices, Desarguesian lattices (06C05) Extremal combinatorics (05D99) Research exposition (monographs, survey articles) pertaining to ordered structures (06-02)

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