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.
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| Format: | Article |
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Elsevier BV
2018
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| Online Access: | http://hdl.handle.net/1721.1/119410 https://orcid.org/0000-0002-0710-1416 |
| _version_ | 1826216676365959168 |
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| author | Etingof, Pavel I |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Etingof, Pavel I |
| author_sort | Etingof, Pavel I |
| collection | MIT |
| description | 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. |
| first_indexed | 2024-09-23T16:51:19Z |
| format | Article |
| id | mit-1721.1/119410 |
| institution | Massachusetts Institute of Technology |
| last_indexed | 2024-09-23T16:51:19Z |
| publishDate | 2018 |
| publisher | Elsevier BV |
| record_format | dspace |
| spelling | mit-1721.1/1194102022-10-03T08:45:06Z A PI degree theorem for quantum deformations Etingof, Pavel I Massachusetts Institute of Technology. Department of Mathematics Etingof, Pavel I 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) 2018-12-04T15:57:35Z 2018-12-04T15:57:35Z 2016-08 2016-02 2018-12-04T13:52:15Z Article http://purl.org/eprint/type/JournalArticle 0021-8693 http://hdl.handle.net/1721.1/119410 Etingof, Pavel. “A PI Degree Theorem for Quantum Deformations.” Journal of Algebra 466 (November 2016): 308–313. https://orcid.org/0000-0002-0710-1416 http://dx.doi.org/10.1016/J.JALGEBRA.2016.07.026 Journal of Algebra Creative Commons Attribution-NonCommercial-NoDerivs License http://creativecommons.org/licenses/by-nc-nd/4.0/ application/pdf Elsevier BV arXiv |
| spellingShingle | Etingof, Pavel I A PI degree theorem for quantum deformations |
| title | A PI degree theorem for quantum deformations |
| title_full | A PI degree theorem for quantum deformations |
| title_fullStr | A PI degree theorem for quantum deformations |
| title_full_unstemmed | A PI degree theorem for quantum deformations |
| title_short | A PI degree theorem for quantum deformations |
| title_sort | pi degree theorem for quantum deformations |
| url | http://hdl.handle.net/1721.1/119410 https://orcid.org/0000-0002-0710-1416 |
| work_keys_str_mv | AT etingofpaveli apidegreetheoremforquantumdeformations AT etingofpaveli pidegreetheoremforquantumdeformations |