SYMPLECTIC REFLECTION ALGEBRAS IN POSITIVE CHARACTERISTIC

被引：6

作者：

Brown, K. A. ^{[1
]}

Changtong, K. ^{[2
]}

机构：

[1] Univ Glasgow, Dept Math, Glasgow G12 8QW, Lanark, Scotland

[2] Ubon Ratchathani Univ, Fac Sci, Dept Math, Ubon Ratchathani 34190, Thailand

来源：

PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY | 2010年 / 53卷

关键词：

symplectic reflection algebra; rational Cherednik algebra; fields of positive characteristic; REPRESENTATIONS; MODULES;

D O I：

10.1017/S0013091507001435

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Basic properties of symplectic reflection algebra's over an algebraically closed field k of positive characteristic are laid out. These algebras are always finite modules over their centres, in contrast to the situation in characteristic 0. For the subclass of rational Cherednik algebras, we determine the PI-degree and the Goldie rank, and show that the Azumaya and smooth loci of the Centre coincide.

引用

页码：61 / 81

页数：21

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