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The dimension of products of n homogeneous components in free Lie algebras     
Yazarlar
Doç. Dr. Nil MANSUROĞLU 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 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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