On Calogero-Moser cellular characters for imprimitive complex reflection groups
Abstract
We study the relationship between Calogero-Moser cellular characters and characters defined from vectors of a Fock space of type A∞. Using this interpretation, we show that Lusztig's constructible characters of the Weyl group of type B are sums of Calogero-Moser cellular characters. We also give an explicit construction of the character of minimal b-invariant of a given Calogero-Moser family of the complex reflection group G(l,1,n).
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