Geodesic
Homotopy of non-modular partitions and the Whitehouse module
Journal of Algebraic Combinatorics, Tome 9 (1999) no. 3, pp. 251-269.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We present a class of subposets of the partition lattice $( n - 1)!\frac n - k k$ (n - 1)!fracn - kk . The posets $Q _{ n } ^{ k }$ are neither shellable nor Cohen-Macaulay. We show that the $S _{ n }$-module structure of the homology generalises the Whitehouse module in a simple way.
Keywords: poset, homology, homotopy, set partition, group representation 
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     author = {Sundaram, Sheila},
     title = {Homotopy of non-modular partitions and the {Whitehouse} module},
     journal = {Journal of Algebraic Combinatorics},
     pages = {251--269},
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     volume = {9},
     number = {3},
     year = {1999},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JAC_1999__9_3_a3/}
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Sundaram, Sheila. Homotopy of non-modular partitions and the Whitehouse module. Journal of Algebraic Combinatorics, Tome 9 (1999) no. 3, pp. 251-269. http://geodesic.mathdoc.fr/item/JAC_1999__9_3_a3/