Plethysm for Wreath Products and Homology of Sub-Posets of Dowling Lattices

  • Anthony Henderson
DOI: https://doi.org/10.37236/1113

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.

Published
2006-10-12
Issue
Volume 13 (2006)
Article Number
R87