Comptes Rendus
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Generic simplicity of quantum Hamiltonian reductions
Akaki Tikaradze1
1 University of Toledo, Department of Mathematics & Statistics, Toledo, OH 43606, USA.
Comptes Rendus. Mathématique, Volume 359 (2021) no. 6, pp. 739-742.

Let a reductive group G act on a smooth affine complex algebraic variety X. Let 𝔤 be the Lie algebra of G and μ:T * (X)→𝔤 * be the moment map. If the moment map is flat, and for a generic character χ:𝔤→ℂ, the action of G on μ -1 (χ) is free, then we show that for very generic characters χ the corresponding quantum Hamiltonian reduction of the ring of differential operators D(X) is simple.

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DOI : 10.5802/crmath.214
Akaki Tikaradze 1

1 University of Toledo, Department of Mathematics & Statistics, Toledo, OH 43606, USA.
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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     author = {Akaki Tikaradze},
     title = {Generic simplicity of quantum {Hamiltonian} reductions},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {739--742},
     publisher = {Acad\'emie des sciences, Paris},
     volume = {359},
     number = {6},
     year = {2021},
     doi = {10.5802/crmath.214},
     zbl = {07390655},
     language = {en},
}
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Akaki Tikaradze. Generic simplicity of quantum Hamiltonian reductions. Comptes Rendus. Mathématique, Volume 359 (2021) no. 6, pp. 739-742. doi : 10.5802/crmath.214. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.214/

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