THE DIMENSION OF PRODUCTS OF n HOMOGENEOUS COMPONENTS IN FREE LIE ALGEBRAS

Nil MANSUROĞLU (Kırşehir Ahi Evran Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü, Kırşehir, Türkiye)
Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics
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Yıl: 2019 Cilt: 68 Sayı: 2 Sayfa Aralığı: 1774 - 1779 Metin Dili: İngilizce DOI: 10.31801/cfsuasmas.457500 İndeks Tarihi: 23-11-2020

THE DIMENSION OF PRODUCTS OF n HOMOGENEOUS COMPONENTS IN FREE LIE ALGEBRAS

Öz:
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 Kelime:

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
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APA Mansuroğlu N (2019). THE DIMENSION OF PRODUCTS OF n HOMOGENEOUS COMPONENTS IN FREE LIE ALGEBRAS. , 1774 - 1779. 10.31801/cfsuasmas.457500
Chicago Mansuroğlu Nil THE DIMENSION OF PRODUCTS OF n HOMOGENEOUS COMPONENTS IN FREE LIE ALGEBRAS. (2019): 1774 - 1779. 10.31801/cfsuasmas.457500
MLA Mansuroğlu Nil THE DIMENSION OF PRODUCTS OF n HOMOGENEOUS COMPONENTS IN FREE LIE ALGEBRAS. , 2019, ss.1774 - 1779. 10.31801/cfsuasmas.457500
AMA Mansuroğlu N THE DIMENSION OF PRODUCTS OF n HOMOGENEOUS COMPONENTS IN FREE LIE ALGEBRAS. . 2019; 1774 - 1779. 10.31801/cfsuasmas.457500
Vancouver Mansuroğlu N THE DIMENSION OF PRODUCTS OF n HOMOGENEOUS COMPONENTS IN FREE LIE ALGEBRAS. . 2019; 1774 - 1779. 10.31801/cfsuasmas.457500
IEEE Mansuroğlu N "THE DIMENSION OF PRODUCTS OF n HOMOGENEOUS COMPONENTS IN FREE LIE ALGEBRAS." , ss.1774 - 1779, 2019. 10.31801/cfsuasmas.457500
ISNAD Mansuroğlu, Nil. "THE DIMENSION OF PRODUCTS OF n HOMOGENEOUS COMPONENTS IN FREE LIE ALGEBRAS". (2019), 1774-1779. https://doi.org/10.31801/cfsuasmas.457500
APA Mansuroğlu N (2019). THE DIMENSION OF PRODUCTS OF n HOMOGENEOUS COMPONENTS IN FREE LIE ALGEBRAS. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, 68(2), 1774 - 1779. 10.31801/cfsuasmas.457500
Chicago Mansuroğlu Nil THE DIMENSION OF PRODUCTS OF n HOMOGENEOUS COMPONENTS IN FREE LIE ALGEBRAS. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics 68, no.2 (2019): 1774 - 1779. 10.31801/cfsuasmas.457500
MLA Mansuroğlu Nil THE DIMENSION OF PRODUCTS OF n HOMOGENEOUS COMPONENTS IN FREE LIE ALGEBRAS. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, vol.68, no.2, 2019, ss.1774 - 1779. 10.31801/cfsuasmas.457500
AMA Mansuroğlu N THE DIMENSION OF PRODUCTS OF n HOMOGENEOUS COMPONENTS IN FREE LIE ALGEBRAS. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics. 2019; 68(2): 1774 - 1779. 10.31801/cfsuasmas.457500
Vancouver Mansuroğlu N THE DIMENSION OF PRODUCTS OF n HOMOGENEOUS COMPONENTS IN FREE LIE ALGEBRAS. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics. 2019; 68(2): 1774 - 1779. 10.31801/cfsuasmas.457500
IEEE Mansuroğlu N "THE DIMENSION OF PRODUCTS OF n HOMOGENEOUS COMPONENTS IN FREE LIE ALGEBRAS." Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, 68, ss.1774 - 1779, 2019. 10.31801/cfsuasmas.457500
ISNAD Mansuroğlu, Nil. "THE DIMENSION OF PRODUCTS OF n HOMOGENEOUS COMPONENTS IN FREE LIE ALGEBRAS". Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics 68/2 (2019), 1774-1779. https://doi.org/10.31801/cfsuasmas.457500
Sayfa Oluşturulma Tarihi
10-05-2024 7:1

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