Whitney homology of semipure shellable posets

DOI10.1023/A:1018694401498zbMath0922.06005OpenAlexW1584726502MaRDI QIDQ1283457

Michelle L. Wachs

Publication date: 5 October 1999

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1018694401498

zbMATH Keywords

symmetric groupplethysmshellabilityposet homologysubspace arrangementspartition latticepartition poset

Mathematics Subject Classification ID

Related Items (19)

Restricted Stirling and Lah number matrices and their inverses ⋮ On the free Lie algebra with multiple brackets ⋮ The topology of restricted partition posets ⋮ Combinatorics of multigraded Poincaré series for monomial rings ⋮ Shelling the coset poset. ⋮ A \(q\)-analogue of a result of Carlitz, Scoville and Vaughan via the homology of posets ⋮ The colored symmetric and exterior algebras ⋮ On the \( h \)-triangles of sequentially \((S _r)\) simplicial complexes via algebraic shifting ⋮ Unimodality of Eulerian quasisymmetric functions ⋮ Simplicial join via tensor product ⋮ Filters in the partition lattice ⋮ Linear inequalities for enumerating chains in partially ordered sets ⋮ Poset fiber theorems ⋮ Obstructions to shellability, partitionability, and sequential Cohen-Macaulayness ⋮ Koszul incidence algebras, affine semigroups, and Stanley-Reisner ideals. ⋮ On the (co)homology of the poset of weighted partitions ⋮ On sequentially Cohen-Macaulay complexes and posets ⋮ Exponential Dowling structures ⋮ Modified Stirling numbers and \(p\)-divisibility in the universal typical \(p^k\)-series

Cites Work

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• On the action of the symmetric group on the cohomology of the complement of its reflecting hyperplanes
• Whitney numbers of geometric lattices
• Homotopy types of subspace arrangements via diagrams of spaces
• The homology representations of the symmetric group on Cohen-Macaulay subposets of the partition lattice
• Algebraic shifting and sequentially Cohen-Macaulay simplicial complexes
• The homology of ``\(k\)-equal manifolds and related partition lattices
• Group representations on the homology of products of posets
• A basis for the homology of the \(d\)-divisible partition lattice
• Group actions on arrangements of linear subspaces and applications to configuration spaces
• The homology representations of the 𝑘-equal partition lattice
• Partitions with Restricted Block Sizes, Möbius Functions, and the k-of-Each Problem
• On Lexicographically Shellable Posets
• Partitions into Even and Odd Block Size and Some Unusual Characters of the Symmetric Groups
• Linear Decision Trees, Subspace Arrangements, and Mobius Functions
• Shellable nonpure complexes and posets. II
• Shellable Nonpure Complexes and Posets. I

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