Completions of Infinitesimal Hecke Algebras of sl2
classification
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algebrascompletionsheckeinfinitesimaltypeanaloguebernsteinconsequence
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We relate completions of infinitesimal Hecke algebras of sl2 to noncommutative deformations of Kleinian singularities of type D of Crawley-Boevey and Holland. As a consequence, we show an analogue of the inequality of Bernstein and simplicity of generic maximal primitive quotients of these algebras. We also establish Skryabin type equivalence for these algebras.
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