Symplectic reflection algebras in positive characteristic
Symplectic reflection algebras in positive characteristic
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正特征的辛反射代数
DOI：
10.1017/s0013091507001435
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发表时间：
2007
影响因子：
0.7
通讯作者：
Kanokporn Changtong
中科院分区：
文献类型：
--
作者：
K. Brown;Kanokporn Changtong
摘要给出了正特征代数闭域k上辛反射代数的基本性质。这些代数总是在其中心上的有限模，与特征0的情况相反。对于有理数Cherednik代数的子类，我们确定了PI度和Goldie秩，并证明了中心的Azumaya轨迹和光滑轨迹重合。
Abstract Basic properties of symplectic reflection algebras 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.