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Abstract
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We study the relationship between Calogero–Moser cellular characters
and characters defined from vectors of a Fock space of type
. Using this
interpretation, we show that Lusztig’s constructible characters of the Weyl group of type
are sums of
Calogero–Moser cellular characters. We also give an explicit construction of the character of
minimal
-invariant
of a given Calogero–Moser family of the complex reflection group
.
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Keywords
imprimitive complex reflection groups, Calogero–Moser
cellular characters, Fock space
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Mathematical Subject Classification
Primary: 20C08
Secondary: 20G42
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Milestones
Received: 4 July 2022
Revised: 3 May 2023
Accepted: 8 June 2023
Published: 21 November 2023
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