Symplectic reflection algebras in positive characteristic

Details Symplectic reflection algebras in positive characteristic Symplectic reflection algebras in positive characteristic

2007-09-14

arxiv.org/abs/0709.2338v1

Mathematics

Rings and Algebras

20 pages

Scientific paper

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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