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math.CO2003
A Hodge decomposition for the complex of injective words
Phil Hanlon, Patricia Hersh
Reiner and Webb compute the -module structure for the complex of injective words in [RW]. This paper refines their formula by providing a Hodge type decomposition. Along the w…
math.CO2003★ 1 cited
Multiplicity of the trivial representation in rank-selected homology of the partition lattice
Phil Hanlon, Patricia Hersh
We study the multiplicity of the trivial representation in the symmetric group representations on the (top) homology of the rank-selected partition lattice .…