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
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Published: Elsevier BV 2018
Online Access:http://hdl.handle.net/1721.1/119410
https://orcid.org/0000-0002-0710-1416
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.