Continuous Hecke algebras
Continuous Hecke algebras
复制标题
DOI：
10.1007/s00031-005-0404-2
复制
发表时间：
2005-01
影响因子：
0.7
通讯作者：
P. Etingof;Wee Liang Gan;V. Ginzburg
中科院分区：
文献类型：
--
作者：
P. Etingof;Wee Liang Gan;V. Ginzburg
二次代数的PBW性质理论起源于Drinfeld的开创性工作(见[DR1])，本文旨在对此做出微薄的贡献。特别是，正如我们在[EG]发表后所了解到的(令我们两个人尴尬的是！)，辛反射代数以及它们的PBW定理是由Drinfeld在15年前的经典论文[DR2]中发现的(即，它们是在[DR2，第4节]中引入的有限群G的退化仿射Hecke代数的特例)。
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]).