A PI degree theorem for quantum deformations

We prove that if a filtered quantization A of a finitely generated commutative domain over a field k is a PI algebra, then A is commutative if char(k) = 0, and its PI degree is a power of p if char(k) = p.

Bibliographic Details
Main Author: Etingof, Pavel I (Contributor)
Other Authors: Massachusetts Institute of Technology. Department of Mathematics (Contributor)
Format: Article
Language:English
Published: Elsevier BV, 2018-12-04T15:57:35Z.
Subjects:
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Description
Summary:We prove that if a filtered quantization A of a finitely generated commutative domain over a field k is a PI algebra, then A is commutative if char(k) = 0, and its PI degree is a power of p if char(k) = p.
National Science Foundation (U.S.) (Grant DMS-1502244)