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Symplectic reflection algebras in positive characteristic
Published online by Cambridge University Press: 12 January 2010
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.
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- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 53 , Issue 1 , February 2010 , pp. 61 - 81
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- Copyright © Edinburgh Mathematical Society 2010
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