Hidden \(\Sigma_{n+1}\)-actions
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Publication:1918071
DOI10.1007/BF02099558zbMath0858.58016OpenAlexW1489718096MaRDI QIDQ1918071
Publication date: 2 April 1997
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02099558
Related Items
The actions of \(S_{n+1}\) and \(S_ n\) on the cohomology ring of a Coxeter arrangement of type \(A_{n-1}\) ⋮ A type \(B\) analog of the Whitehouse representation ⋮ Polynomial splitting measures and cohomology of the pure braid group ⋮ Cohomology of the toric arrangement associated with \(A_n\) ⋮ Trimming the permutahedron to extend the parking space ⋮ On configuration spaces and Whitehouse's lifts of the Eulerian representations ⋮ The integral tree representation of the symmetric group ⋮ On the free Jordan algebras ⋮ Equivariant cohomology of moduli spaces of genus three curves with level two structure ⋮ Internal zonotopal algebras and the monomial reflection groups \(G(m,1,n)\) ⋮ A type \(B\) analog of the Whitehouse representation ⋮ Unnamed Item ⋮ Some natural extensions of the parking space ⋮ Some natural extensions of the parking space ⋮ Correction to: ``Cohomology of the toric arrangement associated with \(A_n\) ⋮ Homotopy of non-modular partitions and the Whitehouse module
Cites Work
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- 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
- Some aspects of groups acting on finite posets
- The tree representation of \(\Sigma_{n+1}\)
- The Free Lie Ring and Lie Representations of the Full Linear Group
