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The dimension of products of n homogeneous components in free Lie algebras     
Yazarlar
Doç. Dr. Nil MANSUROĞLU
Kırşehir Ahi Evran Üniversitesi, Türkiye
Özet
Let L be a free Lie algebra of Önite rank r 2 over a Öeld F and we let Lmidenote the degree mi homogeneous component of L. Ralph Stˆhrand Micheal Vaughan-Lee derived formulae for the dimension of the subspaces[Lm1; Lm2] for all m1 and m2. Then, the author and R. Stˆhr obtained formulae for the dimension of the products [Lm1; Lm2; Lm3] under certain conditionson 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 suchproducts.
Anahtar Kelimeler
Free Lie algebras, homogeneous component
Makale Türü Özgün Makale
Makale Alt Türü ESCI dergilerinde yayımlanan tam makale
Dergi Adı Communications, Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics
Dergi ISSN 1303-5991
Dergi Tarandığı Indeksler E-Sci
Makale Dili İngilizce
Basım Tarihi 01-2019
Cilt No 68
Sayı 2
Sayfalar 1774 / 1779
Doi Numarası DOI: 10.31801/cfsuasmas.457500
BM Sürdürülebilir Kalkınma Amaçları
Atıf Sayıları
The dimension of products of n homogeneous components in free Lie algebras

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