The dimension of products of n homogeneous components in free lie algebras
| dc.contributor.author | Masuroğlu, Nil | |
| dc.contributor.department | Other | tr_TR |
| dc.contributor.faculty | Other | tr_TR |
| dc.date.accessioned | 2021-11-05T08:48:23Z | |
| dc.date.available | 2021-11-05T08:48:23Z | |
| dc.date.issued | 2019-08-01 | |
| dc.description.abstract | Let L be a free Lie algebra of finite rank r≥2 over a field F and we let L_{m_{i}} denote the degree m_{i} homogeneous component of L. Ralph Stöhr and Micheal Vaughan-Lee derived formulae for the dimension of the subspaces [L_{m₁},L_{m₂}] for all m₁ and m₂. Then, the author and R. Stöhr obtained formulae for the dimension of the products [L_{m₁},L_{m₂},L_{m₃}] under certain conditions on m₁,m₂,m₃. In this paper, we study on products of n homogeneous components in free Lie algebra and we derive formulae for the dimension of such products. | tr_TR |
| dc.description.index | Trdizin | tr_TR |
| dc.identifier.endpage | 1779 | tr_TR |
| dc.identifier.issn/e-issn | 2618-6470 | |
| dc.identifier.issue | 2 | tr_TR |
| dc.identifier.startpage | 1774 | tr_TR |
| dc.identifier.uri | https://doi.org/10.31801/cfsuasmas.457500 | tr_TR |
| dc.identifier.uri | http://hdl.handle.net/20.500.12575/75921 | |
| dc.identifier.volume | 68 | tr_TR |
| dc.language.iso | en | tr_TR |
| dc.publisher | Ankara Üniversitesi Fen Fakültesi | tr_TR |
| dc.relation.isversionof | 10.31801/cfsuasmas.457500 | tr_TR |
| dc.relation.journal | Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics | tr_TR |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Başka Kurum Yazarı | tr_TR |
| dc.subject | Free Lie algebras | tr_TR |
| dc.subject | Homogeneous component | tr_TR |
| dc.title | The dimension of products of n homogeneous components in free lie algebras | tr_TR |
| dc.type | Article | tr_TR |