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 $A_{\infty }$. 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 $G(l,1,n)$.

19 pages, comments welcome

References in corpus (1)

• Hecke algebras of finite type are cellular