A homotopy equivalence for partition posets related to liftings of \(S_{n-1}\)-modules to \(S_n\)
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Publication:5937132
DOI10.1006/jcta.2000.3128zbMath0982.06003OpenAlexW2037657449MaRDI QIDQ5937132
Publication date: 29 October 2001
Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jcta.2000.3128
homologysimplicial complexhomotopyinductionlifting of \(S_{n-1}\) modules to \(S_n\)order-complexpartition latticespartition posetsrestrictionset partitions
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Cites Work
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- Homotopy of non-modular partitions and the Whitehouse module
- A homotopy complementation formula for partially ordered sets
- On the topology of two partition posets with forbidden block sizes
- Otter's method and the homology of homeomorphically irreducible \(k\)-trees
- The tree representation of \(\Sigma_{n+1}\)
- Partitions into Even and Odd Block Size and Some Unusual Characters of the Symmetric Groups
- Representations of the Symmetric Group in Deformations of the Free Lie Algebra
- Linear Decision Trees, Subspace Arrangements, and Mobius Functions
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