On universal Lie nilpotent associative algebras
| dc.creator | Etingof, Pavel | |
| dc.creator | Kim, John | |
| dc.creator | Ma, Xiaoguang | |
| dc.date | 2008-05-13 | |
| dc.date.accessioned | 2026-07-07T09:38:38Z | |
| dc.date.available | 2026-07-07T09:38:38Z | |
| dc.description | We study the quotient Q_i(A) of a free algebra A by the ideal M_i(A) generated by relation that the i-th commutator of any elements is zero. 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 M_i(A), e.g. when M_i(A)M_j(A) is contained in M_{i+j-1}(A) (by a result of Gupta and Levin, it is always contained in M_{i+j-2}(A)). | |
| dc.description | 7 pages | |
| dc.identifier | https://arxiv.org/abs/0805.1909 | |
| dc.identifier | http://arxiv.org/abs/0805.1909 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/160880 | |
| dc.subject | Rings and Algebras | |
| dc.subject | Representation Theory | |
| dc.title | On universal Lie nilpotent associative algebras | |
| dc.type | text |