On the Azumaya locus of almost commutative algebras

Details On the Azumaya locus of almost commutative algebras On the Azumaya locus of almost commutative algebras

2009-12-02

arxiv.org/abs/0912.0307v3

Mathematics

Quantum Algebra

7 pages, to appear in Proceedings of the AMS

Scientific paper

We prove a general statement which implies the coincidence of the Azumaya and
smooth loci of the center of an algebra in positive characteristic, provided
that the spectrum of its associated graded algebra has a large symplectic leaf.
In particular, we show that for a symplectic reflection algebra smooth and the
Azumaya loci coincide.

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