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Fixed points in smooth Calogero-Moser spaces. (Points fixes dans les espaces de Calogero-Moser lisses.) (English. French summary) Zbl 1511.20138

Summary: We prove that every irreducible component of the fixed point variety under the action of \(\mu_d\) in a smooth Calogero-Moser space is isomorphic to a Calogero-Moser space associated with another reflection group.

MSC:

20F55 Reflection and Coxeter groups (group-theoretic aspects)
16G20 Representations of quivers and partially ordered sets

Software:

CHAMP; Magma

References:

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