3 citations · 7 across the 5 of their papers we have counts for
6 papers
Complexes of pattern-avoiding injective words
Sergi Elizalde, Philip Hanlon, Patricia Hersh
The complex of injective words is a cell complex that arises in a number of different areas. It has applications to proving homological stability and to the study of group cohomolo…
On an -ary generalization of the Lie representation and tree Specht modules
Tamar Friedmann, Phil Hanlon, Michelle L. Wachs
We continue our study, initiated in our prior work with Richard Stanley, of the representation of the symmetric group on the multilinear component of an -ary generalization of t…
A new presentation for Specht modules with distinct parts
Tamar Friedmann, Phil Hanlon, Michelle L. Wachs
We obtain a new presentation for Specht modules whose conjugate shapes have strictly decreasing parts by introducing a linear operator on the space generated by column tabloids. Th…
On a generalization of Lie(): a CataLAnKe theorem
Tamar Friedmann, Phil Hanlon, Richard P. Stanley +1
We initiate a study of the representation of the symmetric group on the multilinear component of an -ary generalization of the free Lie algebra, which we call a free LAnKe. Our…
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…
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 .…