Continuous Hecke algebras |
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Authors: | Pavel Etingof Wee Liang Gan Victor Ginzburg |
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Affiliation: | (1) Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA 02139, USA;(2) Department of Mathematics, University of Chicago, Chicago, IL 60637, USA |
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Abstract: | 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, as well as PBW theorems for them, were discovered by Drinfeld in the classical paper [Dr2] 15 years before [EG] (namely, they are a special case of degenerate affine Hecke algebras for a finite group G introduced in [Dr2, Section 4]). |
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