Finite dimensional Hopf actions on deformation quantizations
We study when a finite dimensional Hopf action on a quantum formal deformation A of a commutative domain A 0 (i.e., a deformation quantization) must factor through a group algebra. In particular, we show that this occurs when the Poisson center of the fraction field of A 0 is trivial.
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| Format: | Article |
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American Mathematical Society (AMS)
2018
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| Online Access: | http://hdl.handle.net/1721.1/115877 https://orcid.org/0000-0002-0710-1416 |
| _version_ | 1826208537367281664 |
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| author | Etingof, Pavel I Walton, Chelsea |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Etingof, Pavel I Walton, Chelsea |
| author_sort | Etingof, Pavel I |
| collection | MIT |
| description | We study when a finite dimensional Hopf action on a quantum formal deformation A of a commutative domain A 0 (i.e., a deformation quantization) must factor through a group algebra. In particular, we show that this occurs when the Poisson center of the fraction field of A 0 is trivial. |
| first_indexed | 2024-09-23T14:07:13Z |
| format | Article |
| id | mit-1721.1/115877 |
| institution | Massachusetts Institute of Technology |
| last_indexed | 2024-09-23T14:07:13Z |
| publishDate | 2018 |
| publisher | American Mathematical Society (AMS) |
| record_format | dspace |
| spelling | mit-1721.1/1158772022-10-04T06:11:46Z Finite dimensional Hopf actions on deformation quantizations Etingof, Pavel I Walton, Chelsea Massachusetts Institute of Technology. Department of Mathematics Etingof, Pavel I Walton, Chelsea We study when a finite dimensional Hopf action on a quantum formal deformation A of a commutative domain A 0 (i.e., a deformation quantization) must factor through a group algebra. In particular, we show that this occurs when the Poisson center of the fraction field of A 0 is trivial. National Science Foundation (U.S.) (Grant DMS-1502244) National Science Foundation (U.S.) (Grant DMS-1550306) 2018-05-24T20:05:09Z 2018-05-24T20:05:09Z 2016-10 2016-07 2018-05-21T14:35:01Z Article http://purl.org/eprint/type/ConferencePaper 0002-9939 1088-6826 http://hdl.handle.net/1721.1/115877 Etingof, Pavel, and Chelsea Walton. “Finite Dimensional Hopf Actions on Deformation Quantizations.” Proceedings of the American Mathematical Society 145, 5 (October 2016): 1917–1925 © 2016 American Mathematical Society https://orcid.org/0000-0002-0710-1416 http://dx.doi.org/10.1090/PROC/13356 Proceedings of the American Mathematical Society Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf American Mathematical Society (AMS) American Mathematical Society |
| spellingShingle | Etingof, Pavel I Walton, Chelsea Finite dimensional Hopf actions on deformation quantizations |
| title | Finite dimensional Hopf actions on deformation quantizations |
| title_full | Finite dimensional Hopf actions on deformation quantizations |
| title_fullStr | Finite dimensional Hopf actions on deformation quantizations |
| title_full_unstemmed | Finite dimensional Hopf actions on deformation quantizations |
| title_short | Finite dimensional Hopf actions on deformation quantizations |
| title_sort | finite dimensional hopf actions on deformation quantizations |
| url | http://hdl.handle.net/1721.1/115877 https://orcid.org/0000-0002-0710-1416 |
| work_keys_str_mv | AT etingofpaveli finitedimensionalhopfactionsondeformationquantizations AT waltonchelsea finitedimensionalhopfactionsondeformationquantizations |