Cohomology of Dowling lattices and Lie (super)algebras

DOI10.1006/aama.1999.0670zbMath1026.05104OpenAlexW2041063676MaRDI QIDQ1578972

Eric Gottlieb, Michelle L. Wachs

Publication date: 10 September 2003

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

Full work available at URL: https://semanticscholar.org/paper/608dd46c5ae86d7966bd432293fa1abada14745f

zbMATH Keywords

cohomologyLie algebrasDowling latticespartition lattice

Mathematics Subject Classification ID

Related Items (13)

On the free Lie algebra with multiple brackets ⋮ Eigenspace arrangements of reflection groups ⋮ The topology of restricted partition posets ⋮ The colored symmetric and exterior algebras ⋮ Topology of eigenspace posets for imprimitive reflection groups ⋮ Nested set complexes of Dowling lattices and complexes of Dowling trees ⋮ The \(h,k\)-equal partition lattice is EL-shellable when \(h \geq k\) ⋮ Eulerian representations for real reflection groups ⋮ Exponential Dowling structures ⋮ The Buneman index via polyhedral split decomposition ⋮ Shellability of generalized Dowling posets ⋮ On the homogenized linial arrangement: intersection lattice and Genocchi numbers ⋮ The Dowling transform of subspace arrangements

Cites Work

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• The characters of the wreath product group acting on the homology groups of the Dowling lattices
• The Orlik-Solomon algebra on the partition lattice and the free Lie algebra
• On the action of the symmetric group on the free Lie algebra and the partition lattice
• On the action of the symmetric group on the cohomology of the complement of its reflecting hyperplanes
• Combinatorics and topology of complements of hyperplanes
• On the homology of geometric lattices
• Some aspects of groups acting on finite posets
• A hyperoctahedral analogue of the free Lie algebra
• Whitney numbers of geometric lattices
• The theory of Lie superalgebras. An introduction
• On the (co)homology of the partition lattice and the free Lie algebra.
• On Lie \(k\)-algebras
• A basis for the homology of the \(d\)-divisible partition lattice
• A class of geometric lattices based on finite groups

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