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Plethysm for wreath products and homology of sub-posets of Dowling lattices

Anthony Henderson
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Abstract

We prove analogues for sub-posets of the Dowling lattices of the results of Calderbank, Hanlon, and Robinson on homology of sub-posets of the partition lattices. The technical tool used is the wreath product analogue of the tensor species of Joyal.

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Anthony Henderson. 2006-06-30. Plethysm for wreath products and homology of sub-posets of Dowling lattices. https://arxiv.org/abs/math/0604126

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