On the dimension of the product [L2,L2,L1] in free Lie algebras
Yazarlar (1)
Doç. Dr. Nil MANSUROĞLU Kırşehir Ahi Evran Üniversitesi, Türkiye
| Makale Türü | Özgün Makale (ESCI dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | International Journal of Group Theory | ||
| Dergi ISSN | 2251-7650 Wos Dergi Scopus Dergi | ||
| Dergi Tarandığı Indeksler | E-SCİ | ||
| Makale Dili | İngilizce | Basım Tarihi | 06-2018 |
| Cilt / Sayı / Sayfa | 7 / 2 / 45–50 | DOI | 10.22108/ijgt.2017.21481 |
| Özet |
| Let L be a free Lie algebra of rank r >= 2 over a field F and let L-n denote the degree n homogeneous component of L. By using the dimensions of the corresponding homogeneous and fine homogeneous components of the second derived ideal of free centre-by-metabelian Lie algebra over a field F, we determine the dimension of [L-2, L-2, L-1]. Moreover, by this method, we show that the dimension of [L-2, L-2, L-1] over a field of characteristic 2 is different from the dimension over a field of characteristic other than 2. |
| Anahtar Kelimeler |
| Free centre-by-metabelian Lie algebra | Free Lie algebra | Homogeneous and fine homogeneous components | Second derived ideal |