Cohomology of Dowling lattices and Lie (super)algebras
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Publication:1578972
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
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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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