Abstract

We study the relationship between Calogero–Moser cellular characters and characters defined from vectors of a Fock space of type $A_{\infty }$. 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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