On the poset of partitions of an integer

DOI10.1016/0097-3165(86)90092-0zbMath0594.06001OpenAlexW2112209729MaRDI QIDQ5903139

Günter M. Ziegler

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0097-3165(86)90092-0

zbMATH Keywords

partitionsMöbius functionpartially ordered setsCohen-Macaulay

Mathematics Subject Classification ID

Partial orders, general (06A06) Combinatorial aspects of partitions of integers (05A17) Elementary theory of partitions (11P81)

Related Items

Reflection decompositions in the classical Weyl groups, Combinatorial properties of intervals in finite solvable groups, Union and glueing of a family of Cohen-Macaulay partially ordered sets, Edges in the poset of partitions of an integer, Discrete Morse functions from lexicographic orders, On the number of principal ideals in \(d\)-tonal partition monoids, Lexicographic shellability for balanced complexes, On the poset of conjugacy classes of subgroups of π-power index, Shellable nonpure complexes and posets. II, On the growth of the Möbius function of permutations, On the Möbius function of a pointed graded lattice, Information Measures of Frequency Distributions with an Application to Labeled Graphs

Cites Work

• A homotopy complementation formula for partially ordered sets
• On Lexicographically Shellable Posets
• Shellable and Cohen-Macaulay Partially Ordered Sets
• Coalgebras and Bialgebras in Combinatorics
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