Completions of Infinitesimal Hecke Algebras of sl2

Published 4 Feb 2011 in math.QA and math.RT | (1102.1037v2)

Abstract: 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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Authors (1)

Akaki Tikaradze

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