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Pré-Publication, Document De Travail Année : 2022

Regular automorphisms and Calogero-Moser families

Résumé

We study the subvariety of fixed points of an automorphism of a Calogero-Moser space induced by a regular element of finite order of the normalizer of the associated complex reflection group W. We determine some of (and conjecturally all) the C ×-fixed points of its unique irreducible component of maximal dimension in terms of the character table of W. This is inspired by the mysterious relations between the geometry of Calogero-Moser spaces and unipotent representations of finite reductive groups, which is the theme of another paper [Bon3].
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Dates et versions

hal-03565132 , version 1 (10-02-2022)
hal-03565132 , version 2 (14-10-2023)

Identifiants

  • HAL Id : hal-03565132 , version 1

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Cédric Bonnafé. Regular automorphisms and Calogero-Moser families. 2022. ⟨hal-03565132v1⟩
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