Lie dimension subrings
| dc.contributor.author | Bartholdi, L. | |
| dc.contributor.author | Passi, I.B.S. | |
| dc.date.accessioned | 2020-12-07T06:58:15Z | |
| dc.date.available | 2020-12-07T06:58:15Z | |
| dc.date.issued | 2015 | |
| dc.description.abstract | We compare, for 𝐿 a Lie ring over the integers, its lower central series (𝛾𝑛(𝐿))𝑛≥1 and its dimension series defined by 𝛿𝑛(𝐿):=𝐿∩𝜛𝑛(𝐿) in the universal enveloping algebra of 𝐿. We show that 𝛾𝑛(𝐿)=𝛿𝑛(𝐿) for all 𝑛≤3, but give an example showing that they may differ if 𝑛=4. We introduce simplicial methods to describe these results, and to serve as a possible tool for further study of the dimension series. | en_US |
| dc.identifier.citation | International Journal of Algebra and Computation, 25(8) | en_US |
| dc.identifier.other | 10.1142/S0218196715500423 | |
| dc.identifier.uri | https://www.worldscientific.com/doi/10.1142/S0218196715500423 | |
| dc.identifier.uri | http://hdl.handle.net/123456789/2731 | |
| dc.language.iso | en_US | en_US |
| dc.publisher | World Scientific Publishing Co. Pte Ltd | en_US |
| dc.subject | Lie rings | en_US |
| dc.subject | dimension problem | en_US |
| dc.subject | simplicial objects | en_US |
| dc.subject | enveloping algebras | en_US |
| dc.title | Lie dimension subrings | en_US |
| dc.type | Article | en_US |