Let a reductive group act on a smooth affine complex algebraic variety Let be the Lie algebra of and be the moment map. If the moment map is flat, and for a generic character , the action of on is free, then we show that for very generic characters the corresponding quantum Hamiltonian reduction of the ring of differential operators is simple.
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DOI : 10.5802/crmath.214
@article{CRMATH_2021__359_6_739_0, author = {Tikaradze, Akaki}, 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}, url = {http://www.numdam.org./articles/10.5802/crmath.214/} }
TY - JOUR AU - Tikaradze, Akaki TI - Generic simplicity of quantum Hamiltonian reductions JO - Comptes Rendus. Mathématique PY - 2021 SP - 739 EP - 742 VL - 359 IS - 6 PB - Académie des sciences, Paris UR - http://www.numdam.org./articles/10.5802/crmath.214/ DO - 10.5802/crmath.214 LA - en ID - CRMATH_2021__359_6_739_0 ER -
%0 Journal Article %A Tikaradze, Akaki %T Generic simplicity of quantum Hamiltonian reductions %J Comptes Rendus. Mathématique %D 2021 %P 739-742 %V 359 %N 6 %I Académie des sciences, Paris %U http://www.numdam.org./articles/10.5802/crmath.214/ %R 10.5802/crmath.214 %G en %F CRMATH_2021__359_6_739_0
Tikaradze, Akaki. Generic simplicity of quantum Hamiltonian reductions. Comptes Rendus. Mathématique, Tome 359 (2021) no. 6, pp. 739-742. doi : 10.5802/crmath.214. http://www.numdam.org./articles/10.5802/crmath.214/
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