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

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

2006-04-06

arxiv.org/abs/math/0604126v2

Electron. J. Combin. 13 (2006), no.1, Research Paper 87, 25 pp.

Mathematics

Representation Theory

30 pages; second version corrects some minor errors and adds a new section on Whitney homology

Scientific paper

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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