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Pré-Publication, Document De Travail Année : 2022

Automorphisms and symplectic leaves of Calogero-Moser spaces

Résumé

We study the symplectic leaves of the subvariety of fixed points of an automorphism of a Calogero-Moser space induced by an element of finite order of the normalizer of the associated complex reflection group. We give a parametrization à la Harish-Chandra of its symplectic leaves (generalizing earlier works of Bellamy and Losev). This result 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.
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Dates et versions

hal-03565121 , version 1 (10-02-2022)
hal-03565121 , version 2 (05-10-2022)

Identifiants

  • HAL Id : hal-03565121 , version 1

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Cédric Bonnafé. Automorphisms and symplectic leaves of Calogero-Moser spaces. 2022. ⟨hal-03565121v1⟩
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