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Semisimple Hopf actions on Weyl algebras
| dc.contributor.author | Cuadra, Juan | |
| dc.contributor.author | Etingof, Pavel I | |
| dc.contributor.author | Walton, Chelsea | |
| dc.date.accessioned | 2017-09-05T17:57:10Z | |
| dc.date.available | 2017-09-05T17:57:10Z | |
| dc.date.issued | 2015-06 | |
| dc.date.submitted | 2015-03 | |
| dc.identifier.issn | 0001-8708 | |
| dc.identifier.issn | 1090-2082 | |
| dc.identifier.uri | http://hdl.handle.net/1721.1/111128 | |
| dc.description.abstract | We study actions of semisimple Hopf algebras H on Weyl algebras A over an algebraically closed field of characteristic zero. We show that the action of H on A must factor through a group action; in other words, if H acts inner faithfully on A, then H is cocommutative. The techniques used include reduction modulo a prime number and the study of semisimple cosemisimple Hopf actions on division algebras. | en_US |
| dc.description.sponsorship | National Science Foundation (U.S.) (Grant DMS-1000113) | en_US |
| dc.description.sponsorship | National Science Foundation (U.S.) (Grant DMS-1401207) | en_US |
| dc.language.iso | en_US | |
| dc.publisher | Elsevier | en_US |
| dc.relation.isversionof | http://dx.doi.org/10.1016/j.aim.2015.05.014 | en_US |
| dc.rights | Creative Commons Attribution-NonCommercial-NoDerivs License | en_US |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | en_US |
| dc.source | arXiv | en_US |
| dc.title | Semisimple Hopf actions on Weyl algebras | en_US |
| dc.type | Article | en_US |
| dc.identifier.citation | Cuadra, Juan et al. “Semisimple Hopf Actions on Weyl Algebras.” Advances in Mathematics 282 (September 2015): 47–55 © 2015 Elsevier Inc | en_US |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | en_US |
| dc.contributor.mitauthor | Etingof, Pavel I | |
| dc.contributor.mitauthor | Walton, Chelsea | |
| dc.relation.journal | Advances in Mathematics | en_US |
| dc.eprint.version | Author's final manuscript | en_US |
| dc.type.uri | http://purl.org/eprint/type/JournalArticle | en_US |
| eprint.status | http://purl.org/eprint/status/PeerReviewed | en_US |
| dspace.orderedauthors | Cuadra, Juan; Etingof, Pavel; Walton, Chelsea | en_US |
| dspace.embargo.terms | N | en_US |
| dc.identifier.orcid | https://orcid.org/0000-0002-0710-1416 | |
| mit.license | PUBLISHER_CC | en_US |
