The Calogero-Moser partition for G(m,d,n)

Details The Calogero-Moser partition for G(m,d,n) The Calogero-Moser partition for G(m,d,n)

2009-10-31

arxiv.org/abs/0911.0066v3

Mathematics

Representation Theory

23 pages; minor revision of section 7; to appear in Nagoya Journal of Mathematics

Scientific paper

We show that it is possible to deduce the Calogero-Moser partition of the
irreducible representations of the complex reflection groups G(m,d,n) from the
corresponding partition for G(m,1,n). This confirms, in the case W = G(m,d,n),
a conjecture of Gordon and Martino relating the Calogero-Moser partition to
Rouquier families for the corresponding cyclotomic Hecke algebra.

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