On the Azumaya locus of almost commutative algebras

Tikaradze, Akaki

doi:10.1090/S0002-9939-2010-10642-1

On the Azumaya locus of almost commutative algebras
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by Akaki Tikaradze

Proc. Amer. Math. Soc. 139 (2011), 1955-1960

DOI: https://doi.org/10.1090/S0002-9939-2010-10642-1

Published electronically: November 10, 2010

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Abstract:

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, the smooth and the Azumaya loci coincide.

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