| dc.contributor.author | Etingof, Pavel I. | |
| dc.contributor.author | Kim, John | |
| dc.contributor.author | Ma, Xiaoguang | |
| dc.date.accessioned | 2015-04-02T16:03:58Z | |
| dc.date.available | 2015-04-02T16:03:58Z | |
| dc.date.issued | 2009-01 | |
| dc.date.submitted | 2008-05 | |
| dc.identifier.issn | 00218693 | |
| dc.identifier.uri | http://hdl.handle.net/1721.1/96327 | |
| dc.description.abstract | We study the quotient Qi(A) of a free algebra A by the ideal Mi (A) generated by the i th commutator of any elements. In particular, we completely describe such quotient for i=4 (for i 3 this was done previously by Feigin and Shoikhet). We also study properties of the ideals Mi(A), e.g. when Mi(A)Mj(A) is contained in M[subscript i+j-1](A) (by result of Gupta and Levin, it is always contained in M[subscript i+j-2](A)). | en_US |
| dc.description.sponsorship | National Science Foundation (U.S.) (NSF grant DMS-0504847) | en_US |
| dc.language.iso | en_US | |
| dc.publisher | Elsevier B.V. | en_US |
| dc.relation.isversionof | http://dx.doi.org/10.1016/j.jalgebra.2008.09.042 | en_US |
| dc.rights | 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. | en_US |
| dc.source | Elsevier | en_US |
| dc.title | On universal Lie nilpotent associative algebras | en_US |
| dc.type | Article | en_US |
| dc.identifier.citation | Etingof, Pavel, John Kim, and Xiaoguang Ma. “On Universal Lie Nilpotent Associative Algebras.” Journal of Algebra 321, no. 2 (January 2009): 697–703. © 2008 Elsevier Inc. | en_US |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | en_US |
| dc.contributor.mitauthor | Etingof, Pavel I. | en_US |
| dc.contributor.mitauthor | Kim, John | en_US |
| dc.contributor.mitauthor | Ma, Xiaoguang | en_US |
| dc.relation.journal | Journal of Algebra | en_US |
| dc.eprint.version | Final published version | 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 | Etingof, Pavel; Kim, John; Ma, Xiaoguang | en_US |
| dc.identifier.orcid | https://orcid.org/0000-0002-0710-1416 | |
| mit.license | PUBLISHER_POLICY | en_US |
| mit.metadata.status | Complete | |
