Generic simplicity of quantum Hamiltonian reductions

Let a reductive group $G$ act on a smooth affine complex algebraic variety $X.$ Let $\mathfrak{g}$ be the Lie algebra of $G$ and $\mu :T^*(X)\rightarrow \mathfrak{g}^*$ be the moment map. If the moment map is flat, and for a generic character $\chi :\mathfrak{g}\rightarrow \mathbb{C}$, the action of...

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Bibliographic Details
Main Author: Tikaradze, Akaki
Format: Article
Language:English
Published: Académie des sciences 2021-09-01
Series:Comptes Rendus. Mathématique
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.214/