Continuous symplectic reflection algebras

نویسندگان

  • Pavel Etingof
  • Wee Liang Gan
  • Victor Ginzburg
چکیده

The theory of PBW properties of quadratic algebras, to which this paper aims to be a modest contribution, originates from the pioneering work of Drinfeld (see [Dr1]). In particular, as we learned after publication of [EG] (to the embarrassment of two of us!), symplectic reflection algebras and even more general reflection algebras considered in Section 3.6 below, as well as PBW theorems for them, were discovered by Drinfeld in the classical paper [Dr2] 15 years before [EG]. It is our great pleasure to dedicate this paper to Vladimir Drinfeld on the occasion of his 50-th Birthday.

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تاریخ انتشار 2005