Plethysm for wreath products and homology of sub-posets of Dowling lattices
Abstract
Description
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.
30 pages; second version corrects some minor errors and adds a new section on Whitney homology
30 pages; second version corrects some minor errors and adds a new section on Whitney homology