We show that it is possible to deduce the Calogero-Moser partition of the irreducible representations of the complex reflection groups from the corresponding partition for . This confirms, in the case , a conjecture of Gordon and Martino relating the Calogero-Moser partition to Rouquier families for the corresponding cyclotomic Hecke algebra.
"The Calogero-Moser partition for ." Nagoya Math. J. 207 47 - 77, September 2012. https://doi.org/10.1215/00277630-1630023