# Foulkes characters for complex reflection groups

@inproceedings{Miller2015FoulkesCF, title={Foulkes characters for complex reflection groups}, author={Alexander R. Miller}, year={2015} }

Foulkes discovered a marvelous set of characters for the symmetric group by summing Specht modules of certain ribbon shapes according to height. These characters have many remarkable properties and have been the subject of many investigations, including a recent one [2] by Diaconis and Fulman, which established some new formulas, a conjecture of Isaacs, and a connection with Eulerian idempotents. We widen our consideration to complex reflection groups and find ourselves equipped from the start…

## 20 Citations

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