$Z_{3} -graded$ dıfferentıal calculus on the quantum space $R^{3}_{q}$

YAŞAR, Ergün; BAKKALOĞLU, Ahmet

$Z_{3} -graded$ dıfferentıal calculus on the quantum space $R^{3}_{q}$

Ergün YAŞAR, (Yıldız Teknik Üniversitesi, Matematik Bölümü, İstanbul, Türkiye)

Ahmet BAKKALOĞLU (Mimar Sinan Üniversitesi, Matematik Bölümü, İstanbul, Türkiye)

Hacettepe Journal of Mathematics and Statistics

3 0

Yıl: 2013 Cilt: 42 Sayı: 2 Sayfa Aralığı: 101 - 114 Metin Dili: İngilizce İndeks Tarihi: 29-07-2022

$Z_{3} -graded$ dıfferentıal calculus on the quantum space $R^{3}_{q}$

Öz:

In this work, the Z3 -graded differential calculus of the extended quan- tum 3d space is constructed. By using this differential calculus, we obtain the algebra of Cartan-Maurer forms and the corresponding quan- tum Lie algebra. To give a Z3 -graded Cartan calculus on the extended quantum 3d space, the noncommutative differential calculus on this space is extended by introducing inner derivations and Lie derivatives.

Anahtar Kelime:

Konular: Matematik İstatistik ve Olasılık

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık

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APA	YAŞAR E, BAKKALOĞLU A (2013). $Z_{3} -graded$ dıfferentıal calculus on the quantum space $R^{3}_{q}$. , 101 - 114.
Chicago	YAŞAR Ergün,BAKKALOĞLU Ahmet $Z_{3} -graded$ dıfferentıal calculus on the quantum space $R^{3}_{q}$. (2013): 101 - 114.
MLA	YAŞAR Ergün,BAKKALOĞLU Ahmet $Z_{3} -graded$ dıfferentıal calculus on the quantum space $R^{3}_{q}$. , 2013, ss.101 - 114.
AMA	YAŞAR E,BAKKALOĞLU A $Z_{3} -graded$ dıfferentıal calculus on the quantum space $R^{3}_{q}$. . 2013; 101 - 114.
Vancouver	YAŞAR E,BAKKALOĞLU A $Z_{3} -graded$ dıfferentıal calculus on the quantum space $R^{3}_{q}$. . 2013; 101 - 114.
IEEE	YAŞAR E,BAKKALOĞLU A "$Z_{3} -graded$ dıfferentıal calculus on the quantum space $R^{3}_{q}$." , ss.101 - 114, 2013.
ISNAD	YAŞAR, Ergün - BAKKALOĞLU, Ahmet. "$Z_{3} -graded$ dıfferentıal calculus on the quantum space $R^{3}_{q}$". (2013), 101-114.

APA	YAŞAR E, BAKKALOĞLU A (2013). $Z_{3} -graded$ dıfferentıal calculus on the quantum space $R^{3}_{q}$. Hacettepe Journal of Mathematics and Statistics, 42(2), 101 - 114.
Chicago	YAŞAR Ergün,BAKKALOĞLU Ahmet $Z_{3} -graded$ dıfferentıal calculus on the quantum space $R^{3}_{q}$. Hacettepe Journal of Mathematics and Statistics 42, no.2 (2013): 101 - 114.
MLA	YAŞAR Ergün,BAKKALOĞLU Ahmet $Z_{3} -graded$ dıfferentıal calculus on the quantum space $R^{3}_{q}$. Hacettepe Journal of Mathematics and Statistics, vol.42, no.2, 2013, ss.101 - 114.
AMA	YAŞAR E,BAKKALOĞLU A $Z_{3} -graded$ dıfferentıal calculus on the quantum space $R^{3}_{q}$. Hacettepe Journal of Mathematics and Statistics. 2013; 42(2): 101 - 114.
Vancouver	YAŞAR E,BAKKALOĞLU A $Z_{3} -graded$ dıfferentıal calculus on the quantum space $R^{3}_{q}$. Hacettepe Journal of Mathematics and Statistics. 2013; 42(2): 101 - 114.
IEEE	YAŞAR E,BAKKALOĞLU A "$Z_{3} -graded$ dıfferentıal calculus on the quantum space $R^{3}_{q}$." Hacettepe Journal of Mathematics and Statistics, 42, ss.101 - 114, 2013.
ISNAD	YAŞAR, Ergün - BAKKALOĞLU, Ahmet. "$Z_{3} -graded$ dıfferentıal calculus on the quantum space $R^{3}_{q}$". Hacettepe Journal of Mathematics and Statistics 42/2 (2013), 101-114.