On Calogero-Moser cellular characters for imprimitive complex reflection groups. (English) Zbl 1527.20002
Summary: 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 \(G(l,1,n)\).
MSC:
| 20C08 | Hecke algebras and their representations |
| 20G42 | Quantum groups (quantized function algebras) and their representations |
| 20F55 | Reflection and Coxeter groups (group-theoretic aspects) |
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