Reflection functors and symplectic reflection algebras for wreath products

被引：4

作者：

Gan, Wee Liang ^{[1
]}

机构：

[1] MIT, Dept Math, Cambridge, MA 02139 USA

来源：

ADVANCES IN MATHEMATICS | 2006年 / 205卷 / 02期

基金：

美国国家科学基金会;

关键词：

reflection functors; quivers; symplectic reflection algebras;

D O I：

10.1016/j.aim.2005.08.002

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct reflection functors on categories of modules over deformed wreath products of the preprojective algebra of a quiver. These functors give equivalences of categories associated to generic parameters which are in the same orbit under the Weyl group action. We give applications to the representation theory of symplectic reflection algebras of wreath product groups. (C) 2005 Elsevier Inc. All rights reserved.

引用

页码：599 / 630

页数：32

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